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20122401432 = 23374322312491
BaseRepresentation
bin10010101111011000…
…110111101010011000
31220221100211220110010
4102233120313222120
5312202313321212
613124420521520
71311436406250
oct225730675230
956840756403
1020122401432
118596631031
123a96b502a0
131b88b62913
14d8c668960
157cb89803c
hex4af637a98

20122401432 has 128 divisors (see below), whose sum is σ = 59098152960. Its totient is φ = 5589924480.

The previous prime is 20122401367. The next prime is 20122401433. The reversal of 20122401432 is 23410422102.

It is a super-2 number, since 2×201224014322 (a number of 21 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 = 20122401399 and 20122401408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20122401433) 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 31 ways as a sum of consecutive naturals, for example, 1604707 + ... + 1617197.

It is an arithmetic number, because the mean of its divisors is an integer number (461704320).

Almost surely, 220122401432 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 20122401432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29549076480).

20122401432 is an abundant number, since it is smaller than the sum of its proper divisors (38975751528).

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

20122401432 is a wasteful number, since it uses less digits than its factorization.

20122401432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12773 (or 12769 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 20122401432 its reverse (23410422102), we get a palindrome (43532823534).

The spelling of 20122401432 in words is "twenty billion, one hundred twenty-two million, four hundred one thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 43 56 84 86 129 168 172 223 258 301 344 446 516 602 669 892 903 1032 1204 1338 1561 1784 1806 2408 2676 3122 3612 4683 5352 6244 7224 9366 9589 12488 12491 18732 19178 24982 28767 37464 37473 38356 49964 57534 67123 74946 76712 87437 99928 115068 134246 149892 174874 201369 230136 262311 268492 299784 349748 402738 524622 536984 537113 699496 805476 1049244 1074226 1610952 1611339 2098488 2148452 2785493 3222678 3759791 4296904 5570986 6445356 7519582 8356479 11141972 11279373 12890712 15039164 16712958 19498451 22283944 22558746 30078328 33425916 38996902 45117492 58495353 66851832 77993804 90234984 116990706 119776199 155987608 233981412 239552398 359328597 467962824 479104796 718657194 838433393 958209592 1437314388 1676866786 2515300179 2874628776 3353733572 5030600358 6707467144 10061200716 20122401432