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2010100332 = 2231737793371
BaseRepresentation
bin111011111001111…
…1011001001101100
312012002100200021110
41313303323021230
513104041202312
6531243232020
7100545366552
oct16763731154
95162320243
102010100332
11941716149
12481218610
132605a27a6
14150d67bd2
15bb70a43c
hex77cfb26c

2010100332 has 96 divisors (see below), whose sum is σ = 5166443520. Its totient is φ = 605629440.

The previous prime is 2010100331. The next prime is 2010100361. The reversal of 2010100332 is 2330010102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (2010100331) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 594607 + ... + 597977.

It is an arithmetic number, because the mean of its divisors is an integer number (53817120).

Almost surely, 22010100332 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2010100332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2583221760).

2010100332 is an abundant number, since it is smaller than the sum of its proper divisors (3156343188).

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

2010100332 is a wasteful number, since it uses less digits than its factorization.

2010100332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3511 (or 3509 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 2010100332 is about 44834.1424809263. The cubic root of 2010100332 is about 1262.0384263337.

Adding to 2010100332 its reverse (2330010102), we get a palindrome (4340110434).

The spelling of 2010100332 in words is "two billion, ten million, one hundred thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 17 34 37 51 68 74 79 102 111 148 158 204 222 237 316 444 474 629 948 1258 1343 1887 2516 2686 2923 3371 3774 4029 5372 5846 6742 7548 8058 8769 10113 11692 13484 16116 17538 20226 35076 40452 49691 57307 99382 114614 124727 149073 171921 198764 229228 249454 266309 298146 343842 374181 498908 532618 596292 687684 748362 798927 1065236 1496724 1597854 2120359 3195708 4240718 4527253 6361077 8481436 9054506 9853433 12722154 13581759 18109012 19706866 25444308 27163518 29560299 39413732 54327036 59120598 118241196 167508361 335016722 502525083 670033444 1005050166 2010100332