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21132133101030 = 23572103031395283
BaseRepresentation
bin1001100111000001101010…
…10010010110110111100110
32202211012201200121221021110
410303200311102112313212
510232212102033213110
6112535545023325450
74310513646424500
oct463406522266746
982735650557243
1021132133101030
1168080a6249476
122453670750886
13ba39a0361553
14530b2d194d70
15269a66865a20
hex133835496de6

21132133101030 has 96 divisors (see below), whose sum is σ = 59003234002944. Its totient is φ = 4829729575104.

The previous prime is 21132133100933. The next prime is 21132133101041. The reversal of 21132133101030 is 3010133123112.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 21132133100988 and 21132133101006.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 14447769 + ... + 15843051.

It is an arithmetic number, because the mean of its divisors is an integer number (614617020864).

Almost surely, 221132133101030 is an apocalyptic number.

21132133101030 is an abundant number, since it is smaller than the sum of its proper divisors (37871100901914).

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

21132133101030 is a wasteful number, since it uses less digits than its factorization.

21132133101030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1405610 (or 1405603 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 21132133101030 its reverse (3010133123112), we get a palindrome (24142266224142).

The spelling of 21132133101030 in words is "twenty-one trillion, one hundred thirty-two billion, one hundred thirty-three million, one hundred one thousand, thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 98 105 147 210 245 294 490 735 1470 10303 20606 30909 51515 61818 72121 103030 144242 154545 216363 309090 360605 432726 504847 721210 1009694 1081815 1395283 1514541 2163630 2524235 2790566 3029082 4185849 5048470 6976415 7572705 8371698 9766981 13952830 15145410 19533962 20929245 29300943 41858490 48834905 58601886 68368867 97669810 136737734 146504715 205106601 293009430 341844335 410213202 683688670 1025533005 2051066010 14375600749 28751201498 43126802247 71878003745 86253604494 100629205243 143756007490 201258410486 215634011235 301887615729 431268022470 503146026215 603775231458 704404436701 1006292052430 1408808873402 1509438078645 2113213310103 3018876157290 3522022183505 4226426620206 7044044367010 10566066550515 21132133101030