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22101221011012 = 221113711733331397
BaseRepresentation
bin1010000011001110101110…
…11011010110111001000100
32220020212010002111111002121
411001213113123112321010
510344101300034323022
6115001054420415324
74440521600643223
oct501472733267104
986225102444077
1022101221011012
1170510910a0630
12258b446247544
13c441a02c7660
145659c1daacba
15284d843892c7
hex1419d76d6e44

22101221011012 has 96 divisors (see below), whose sum is σ = 46082984258304. Its totient is φ = 9141811929600.

The previous prime is 22101221010991. The next prime is 22101221011027. The reversal of 22101221011012 is 21011012210122.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 703912098 + ... + 703943494.

It is an arithmetic number, because the mean of its divisors is an integer number (480031086024).

Almost surely, 222101221011012 is an apocalyptic number.

22101221011012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

22101221011012 is an abundant number, since it is smaller than the sum of its proper divisors (23981763247292).

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

22101221011012 is a wasteful number, since it uses less digits than its factorization.

22101221011012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48829 (or 48827 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 22101221011012 its reverse (21011012210122), we get a palindrome (43112233221134).

It can be divided in two parts, 221012210110 and 12, that added together give a palindrome (221012210122).

The spelling of 22101221011012 in words is "twenty-two trillion, one hundred one billion, two hundred twenty-one million, eleven thousand, twelve".

Divisors: 1 2 4 11 13 22 26 44 52 71 142 143 284 286 572 781 923 1562 1846 3124 3692 10153 17333 20306 31397 34666 40612 62794 69332 125588 190663 225329 345367 381326 408161 450658 690734 762652 816322 901316 1230643 1381468 1632644 2229187 2461286 2478619 4458374 4489771 4922572 4957238 8916748 8979542 9914476 13537073 15998359 17959084 24521057 27074146 28979431 31996718 49042114 54148292 57958862 63993436 98084228 115917724 175981949 318773741 351963898 544204201 637547482 703927796 1088408402 1275094964 2176816804 5986246211 7074654613 11972492422 14149309226 23944984844 28298618452 38638498271 77276996542 77821200743 154553993084 155642401486 311284802972 425023480981 502300477523 850046961962 1004600955046 1700093923924 2009201910092 5525305252753 11050610505506 22101221011012