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10002001022202 = 2371741965351199
BaseRepresentation
bin1001000110001100010110…
…1101111100110011111010
31022102011220122111201020210
42101203011231330303322
52302333044230202302
633134504505531550
72051422623634260
oct221430555746372
938364818451223
1010002001022202
113206908909682
121156555aa3bb6
1357725289cc27
14268156bb2430
1512529595866c
hex918c5b7ccfa

10002001022202 has 128 divisors (see below), whose sum is σ = 24301928448000. Its totient is φ = 2679033240576.

The previous prime is 10002001022161. The next prime is 10002001022231. The reversal of 10002001022202 is 20222010020001.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 195329799 + ... + 195380997.

It is an arithmetic number, because the mean of its divisors is an integer number (189858816000).

Almost surely, 210002001022202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10002001022202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12150964224000).

10002001022202 is an abundant number, since it is smaller than the sum of its proper divisors (14299927425798).

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

10002001022202 is a wasteful number, since it uses less digits than its factorization.

10002001022202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52300.

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 10002001022202 its reverse (20222010020001), we get a palindrome (30224011042203).

The spelling of 10002001022202 in words is "ten trillion, two billion, one million, twenty-two thousand, two hundred two".

Divisors: 1 2 3 6 7 14 17 21 34 42 51 102 119 238 357 419 653 714 838 1257 1306 1959 2514 2933 3918 4571 5866 7123 8799 9142 11101 13713 14246 17598 21369 22202 27426 33303 42738 49861 51199 66606 77707 99722 102398 149583 153597 155414 233121 273607 299166 307194 358393 466242 547214 716786 820821 870383 1075179 1641642 1740766 1915249 2150358 2611149 3830498 4651319 5222298 5745747 6092681 9302638 11491494 12185362 13953957 18278043 21452381 27907914 32559233 33432947 36556086 42904762 64357143 65118466 66865894 97677699 100298841 128714286 150166667 195355398 200597682 234030629 300333334 364690477 450500001 468061258 568360099 702091887 729380954 901000002 1094071431 1136720198 1404183774 1705080297 2188142862 2552833339 3410160594 3978520693 5105666678 7658500017 7957041386 11935562079 14008404793 15317000034 23871124158 28016809586 42025214379 84050428758 98058833551 196117667102 238142881481 294176500653 476285762962 588353001306 714428644443 1428857288886 1667000170367 3334000340734 5001000511101 10002001022202