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32121230133102 = 231110310334574153
BaseRepresentation
bin1110100110110110011101…
…00000110000011101101110
311012201202111202102110022220
413103123032200300131232
513202233234403224402
6152152142302420210
76523453012126455
oct723331640603556
9135652452373286
1032121230133102
11a2645a0014190
123729386b91666
1314c00329a2896
147d09666b7b9c
153aa830c4adbc
hex1d36ce83076e

32121230133102 has 64 divisors (see below), whose sum is σ = 70831616334336. Its totient is φ = 9629870722560.

The previous prime is 32121230133089. The next prime is 32121230133107. The reversal of 32121230133102 is 20133103212123.

It is a super-2 number, since 2×321212301331022 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32121230133107) 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, 4735258 + ... + 9309410.

It is an arithmetic number, because the mean of its divisors is an integer number (1106744005224).

Almost surely, 232121230133102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32121230133102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35415808167168).

32121230133102 is an abundant number, since it is smaller than the sum of its proper divisors (38710386201234).

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

32121230133102 is a wasteful number, since it uses less digits than its factorization.

32121230133102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4575305.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 32121230133102 its reverse (20133103212123), we get a palindrome (52254333345225).

The spelling of 32121230133102 in words is "thirty-two trillion, one hundred twenty-one billion, two hundred thirty million, one hundred thirty-three thousand, one hundred two".

Divisors: 1 2 3 6 11 22 33 66 103 206 309 618 1033 1133 2066 2266 3099 3399 6198 6798 11363 22726 34089 68178 106399 212798 319197 638394 1170389 2340778 3511167 4574153 7022334 9148306 13722459 27444918 50315683 100631366 150947049 301894098 471137759 942275518 1413413277 2826826554 4725100049 5182515349 9450200098 10365030698 14175300147 15547546047 28350600294 31095092094 51976100539 103952201078 155928301617 311856603234 486685305047 973370610094 1460055915141 2920111830282 5353538355517 10707076711034 16060615066551 32121230133102