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1013222213031 = 372315179717431
BaseRepresentation
bin11101011111010001100…
…00000000010110100111
310120212022012100102220210
432233220300000112213
5113100034341304111
62053245020230503
7133126406465040
oct16575060002647
93525265312823
101013222213031
11360783585286
1214445209b433
1374714701332
143707c4d78c7
151b55245e0a6
hexebe8c005a7

1013222213031 has 64 divisors (see below), whose sum is σ = 1623883677696. Its totient is φ = 549421488000.

The previous prime is 1013222213011. The next prime is 1013222213057. The reversal of 1013222213031 is 1303122223101.

It is not a de Polignac number, because 1013222213031 - 226 = 1013155104167 is a prime.

It is a super-2 number, since 2×10132222130312 (a number of 25 digits) contains 22 as substring.

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 = 1013222212989 and 1013222213007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013222213011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 58118886 + ... + 58136316.

It is an arithmetic number, because the mean of its divisors is an integer number (25373182464).

Almost surely, 21013222213031 is an apocalyptic number.

1013222213031 is a deficient number, since it is larger than the sum of its proper divisors (610661464665).

1013222213031 is a wasteful number, since it uses less digits than its factorization.

1013222213031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18412.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 1013222213031 its reverse (1303122223101), we get a palindrome (2316344436132).

The spelling of 1013222213031 in words is "one trillion, thirteen billion, two hundred twenty-two million, two hundred thirteen thousand, thirty-one".

Divisors: 1 3 7 21 23 69 151 161 453 483 797 1057 2391 3171 3473 5579 10419 16737 17431 18331 24311 52293 54993 72933 120347 122017 128317 361041 366051 384951 400913 842429 1202739 2527287 2632081 2767981 2806391 7896243 8303943 8419173 13892507 18424567 19375867 41677521 55273701 58127601 60537863 97247549 181613589 291742647 319527661 423765041 958582983 1271295123 2097768557 2236693627 6293305671 6710080881 14684379899 44053139697 48248676811 144746030433 337740737677 1013222213031