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22013031132 = 22327124673491
BaseRepresentation
bin10100100000000101…
…000011001011011100
32002211010101211211100
4110200011003023130
5330040313444012
614040155353100
71406334451221
oct244005031334
962733354740
1022013031132
119376867114
124324152790
1320ca765411
1410cb7b3948
1588c8548dc
hex5201432dc

22013031132 has 72 divisors (see below), whose sum is σ = 56466813312. Its totient is φ = 7229325600.

The previous prime is 22013031127. The next prime is 22013031137. The reversal of 22013031132 is 23113031022.

22013031132 is a `hidden beast` number, since 220 + 130 + 311 + 3 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (22013031127) and next prime (22013031137).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22013031137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6303907 + ... + 6307397.

It is an arithmetic number, because the mean of its divisors is an integer number (784261296).

Almost surely, 222013031132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22013031132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28233406656).

22013031132 is an abundant number, since it is smaller than the sum of its proper divisors (34453782180).

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

22013031132 is a wasteful number, since it uses less digits than its factorization.

22013031132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6039 (or 6034 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 22013031132 its reverse (23113031022), we get a palindrome (45126062154).

The spelling of 22013031132 in words is "twenty-two billion, thirteen million, thirty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 71 142 213 284 426 639 852 1278 2467 2556 3491 4934 6982 7401 9868 10473 13964 14802 20946 22203 29604 31419 41892 44406 62838 88812 125676 175157 247861 350314 495722 525471 700628 743583 991444 1050942 1487166 1576413 2101884 2230749 2974332 3152826 4461498 6305652 8612297 8922996 17224594 25836891 34449188 51673782 77510673 103347564 155021346 310042692 611473087 1222946174 1834419261 2445892348 3668838522 5503257783 7337677044 11006515566 22013031132