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100211102120022 = 232937109234161001
BaseRepresentation
bin10110110010010000110111…
…001001001111100001010110
3111010211002101000012100100120
4112302100313021033201112
5101113324314120320042
6553044202245452410
730052004346434145
oct2662206711174126
9433732330170316
10100211102120022
1129a26320715483
12b2a56bb411106
1343bbb355961ba
141aa635958775c
15b8bac2755dec
hex5b243724f856

100211102120022 has 128 divisors (see below), whose sum is σ = 214985786083200. Its totient is φ = 31078494720000.

The previous prime is 100211102120009. The next prime is 100211102120029. The reversal of 100211102120022 is 220021201112001.

It is a junction number, because it is equal to n+sod(n) for n = 100211102119983 and 100211102120010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100211102120029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1642747522 + ... + 1642808522.

It is an arithmetic number, because the mean of its divisors is an integer number (1679576453775).

Almost surely, 2100211102120022 is an apocalyptic number.

100211102120022 is an abundant number, since it is smaller than the sum of its proper divisors (114774683963178).

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

100211102120022 is a wasteful number, since it uses less digits than its factorization.

100211102120022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63522.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 100211102120022 its reverse (220021201112001), we get a palindrome (320232303232023).

The spelling of 100211102120022 in words is "one hundred trillion, two hundred eleven billion, one hundred two million, one hundred twenty thousand, twenty-two".

Divisors: 1 2 3 6 29 37 58 74 87 109 111 174 218 222 327 654 1073 2146 2341 3161 3219 4033 4682 6322 6438 7023 8066 9483 12099 14046 18966 24198 61001 67889 86617 116957 122002 135778 173234 183003 203667 233914 255169 259851 350871 366006 407334 510338 519702 701742 765507 1531014 1769029 2257037 2511893 3538058 4514074 5023786 5307087 6649109 6771111 7399901 7535679 9441253 10614174 13298218 13542222 14799802 15071358 18882506 19947327 22199703 28323759 39894654 44399406 56647518 65454073 130908146 142803341 192824161 196362219 246017033 273796337 285606682 385648322 392724438 428410023 492034066 547592674 578472483 738051099 821389011 856820046 1156944966 1476102198 1642778022 4141296889 5283723617 7134493957 8282593778 10567447234 12423890667 14268987914 15565564169 15851170851 21403481871 24847781334 31131128338 31702341702 42806963742 46696692507 93393385014 153227984893 306455969786 451401360901 459683954679 575925874253 902802721802 919367909358 1151851748506 1354204082703 1727777622759 2708408165406 3455555245518 16701850353337 33403700706674 50105551060011 100211102120022