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102011212022200 = 235213186721015041
BaseRepresentation
bin10111001100011101010110…
…000011100100000110111000
3111101012011202202120010021021
4113030131112003210012320
5101332322430234202300
61000543145344152224
730326031634231555
oct2714352603440670
9441164682503237
10102011212022200
112a55a79183a208
12b536558608674
1344bc80150b080
141b295247a3a2c
15bbd82bc6cd1a
hex5cc7560e41b8

102011212022200 has 96 divisors (see below), whose sum is σ = 255557200948560. Its totient is φ = 37645502054400.

The previous prime is 102011212022173. The next prime is 102011212022201. The reversal of 102011212022200 is 2220212110201.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102011212022201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5653321 + ... + 15361720.

Almost surely, 2102011212022200 is an apocalyptic number.

102011212022200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102011212022200 is an abundant number, since it is smaller than the sum of its proper divisors (153545988926360).

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

102011212022200 is a wasteful number, since it uses less digits than its factorization.

102011212022200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21016937 (or 21016928 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 102011212022200 its reverse (2220212110201), we get a palindrome (104231424132401).

The spelling of 102011212022200 in words is "one hundred two trillion, eleven billion, two hundred twelve million, twenty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 520 650 1300 1867 2600 3734 7468 9335 14936 18670 24271 37340 46675 48542 74680 93350 97084 121355 186700 194168 242710 373400 485420 606775 970840 1213550 2427100 4854200 21015041 42030082 84060164 105075205 168120328 210150410 273195533 420300820 525376025 546391066 840601640 1050752050 1092782132 1365977665 2101504100 2185564264 2731955330 4203008200 5463910660 6829888325 10927821320 13659776650 27319553300 39235081547 54639106600 78470163094 156940326188 196175407735 313880652376 392350815470 510056060111 784701630940 980877038675 1020112120222 1569403261880 1961754077350 2040224240444 2550280300555 3923508154700 4080448480888 5100560601110 7847016309400 10201121202220 12751401502775 20402242404440 25502803005550 51005606011100 102011212022200