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21121222030100 = 225217110311264051
BaseRepresentation
bin1001100110101101010101…
…11011111011001100010100
32202210011120021112002210022
410303112222323323030110
510232022230314430400
6112530542213244312
74306646400024203
oct463265273731424
982704507462708
1021121222030100
116803507230385
122451526633698
13ba29519a256a
145303b603323a
152696289e0b85
hex1335aaefb314

21121222030100 has 72 divisors (see below), whose sum is σ = 48573115371648. Its totient is φ = 7944309184000.

The previous prime is 21121222030081. The next prime is 21121222030123. The reversal of 21121222030100 is 103022212112.

It is a super-2 number, since 2×211212220301002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3756926 + ... + 7507125.

It is an arithmetic number, because the mean of its divisors is an integer number (674626602384).

Almost surely, 221121222030100 is an apocalyptic number.

21121222030100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21121222030100 is an abundant number, since it is smaller than the sum of its proper divisors (27451893341548).

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

21121222030100 is a wasteful number, since it uses less digits than its factorization.

21121222030100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11265185 (or 11265178 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 21121222030100 its reverse (103022212112), we get a palindrome (21224244242212).

The spelling of 21121222030100 in words is "twenty-one trillion, one hundred twenty-one billion, two hundred twenty-two million, thirty thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1103 1700 2206 4412 5515 11030 18751 22060 27575 37502 55150 75004 93755 110300 187510 375020 468775 937550 1875100 11264051 22528102 45056204 56320255 112640510 191488867 225281020 281601275 382977734 563202550 765955468 957444335 1126405100 1914888670 3829777340 4787221675 9574443350 12424248253 19148886700 24848496506 49696993012 62121241265 124242482530 211212220301 248484965060 310606206325 422424440602 621212412650 844848881204 1056061101505 1242424825300 2112122203010 4224244406020 5280305507525 10560611015050 21121222030100