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2002101010 = 257132324159
BaseRepresentation
bin111011101010101…
…1010001100010010
312011112022021021021
41313111122030102
513100014213020
6530355550054
7100420402120
oct16725321422
95145267237
102002101010
11938152138
1247a5bb32a
1325ba31770
1414dc84910
15bab7a1aa
hex7755a312

2002101010 has 96 divisors (see below), whose sum is σ = 4637767680. Its totient is φ = 605937024.

The previous prime is 2002100983. The next prime is 2002101019. The reversal of 2002101010 is 101012002.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a junction number, because it is equal to n+sod(n) for n = 2002100984 and 2002101002.

It is not an unprimeable number, because it can be changed into a prime (2002101019) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 479311 + ... + 483469.

It is an arithmetic number, because the mean of its divisors is an integer number (48310080).

Almost surely, 22002101010 is an apocalyptic number.

2002101010 is an abundant number, since it is smaller than the sum of its proper divisors (2635666670).

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

2002101010 is a wasteful number, since it uses less digits than its factorization.

2002101010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4232 (or 4209 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

The square root of 2002101010 is about 44744.8433900489. The cubic root of 2002101010 is about 1260.3620799503.

Adding to 2002101010 its reverse (101012002), we get a palindrome (2103113012).

The spelling of 2002101010 in words is "two billion, two million, one hundred one thousand, ten".

Divisors: 1 2 5 7 10 13 14 23 26 35 46 65 70 91 115 130 161 182 230 299 322 455 529 598 805 910 1058 1495 1610 2093 2645 2990 3703 4159 4186 5290 6877 7406 8318 10465 13754 18515 20795 20930 29113 34385 37030 41590 48139 54067 58226 68770 95657 96278 108134 145565 191314 240695 270335 291130 378469 478285 481390 540670 669599 756938 956570 1243541 1339198 1892345 2200111 2487082 3347995 3784690 4400222 6217705 6695990 8704787 11000555 12435410 15400777 17409574 22001110 28601443 30801554 43523935 57202886 77003885 87047870 143007215 154007770 200210101 286014430 400420202 1001050505 2002101010