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1013214330 = 2325194791237
BaseRepresentation
bin111100011001000…
…110110001111010
32121121112121202200
4330121012301322
54033340324310
6244312411030
734052115432
oct7431066172
92547477680
101013214330
1147aa29a17
122433a6a76
13131bb5b0b
14987cb2c2
155de419c0
hex3c646c7a

1013214330 has 96 divisors (see below), whose sum is σ = 2781043200. Its totient is φ = 255229056.

The previous prime is 1013214329. The next prime is 1013214353. The reversal of 1013214330 is 334123101.

1013214330 is a `hidden beast` number, since 10 + 1 + 321 + 4 + 330 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 818472 + ... + 819708.

It is an arithmetic number, because the mean of its divisors is an integer number (28969200).

Almost surely, 21013214330 is an apocalyptic number.

1013214330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1013214330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1390521600).

1013214330 is an abundant number, since it is smaller than the sum of its proper divisors (1767828870).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1013214330 is a wasteful number, since it uses less digits than its factorization.

1013214330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1748 (or 1745 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1013214330 is about 31831.0277873650. The cubic root of 1013214330 is about 1004.3855158026.

Adding to 1013214330 its reverse (334123101), we get a palindrome (1347337431).

The spelling of 1013214330 in words is "one billion, thirteen million, two hundred fourteen thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 45 57 90 95 114 171 190 285 342 479 570 855 958 1237 1437 1710 2395 2474 2874 3711 4311 4790 6185 7185 7422 8622 9101 11133 12370 14370 18202 18555 21555 22266 23503 27303 37110 43110 45505 47006 54606 55665 70509 81909 91010 111330 117515 136515 141018 163818 211527 235030 273030 352545 409545 423054 592523 705090 819090 1057635 1185046 1777569 2115270 2962615 3555138 5332707 5925230 8887845 10665414 11257937 17775690 22515874 26663535 33773811 53327070 56289685 67547622 101321433 112579370 168869055 202642866 337738110 506607165 1013214330