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101214302004 = 22343135328547
BaseRepresentation
bin101111001000011010…
…1111010111100110100
3100200020210120021110000
41132100311322330310
53124241330131004
6114255221431300
710212120241404
oct1362065727464
9320223507400
10101214302004
1139a19920182
121774856b530
13971027093a
144c82434804
152975b4cc39
hex1790d7af34

101214302004 has 120 divisors (see below), whose sum is σ = 273912807168. Its totient is φ = 32556142080.

The previous prime is 101214302003. The next prime is 101214302027. The reversal of 101214302004 is 400203412101.

101214302004 is a `hidden beast` number, since 10 + 1 + 21 + 430 + 200 + 4 = 666.

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 (101214302003) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3531259 + ... + 3559805.

Almost surely, 2101214302004 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 101214302004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136956403584).

101214302004 is an abundant number, since it is smaller than the sum of its proper divisors (172698505164).

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

101214302004 is a wasteful number, since it uses less digits than its factorization.

101214302004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28947 (or 28936 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 101214302004 its reverse (400203412101), we get a palindrome (501417714105).

The spelling of 101214302004 in words is "one hundred one billion, two hundred fourteen million, three hundred two thousand, four".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 81 93 108 124 162 186 279 324 353 372 558 706 837 1059 1116 1412 1674 2118 2511 3177 3348 4236 5022 6354 9531 10044 10943 12708 19062 21886 28547 28593 32829 38124 43772 57094 57186 65658 85641 98487 114188 114372 131316 171282 196974 256923 295461 342564 393948 513846 590922 770769 884957 886383 1027692 1181844 1541538 1769914 1772766 2312307 2654871 3083076 3539828 3545532 4624614 5309742 7964613 9249228 10077091 10619484 15929226 20154182 23893839 30231273 31858452 40308364 47787678 60462546 71681517 90693819 95575356 120925092 143363034 181387638 272081457 286726068 312389821 362775276 544162914 624779642 816244371 937169463 1088325828 1249559284 1632488742 1874338926 2811508389 3264977484 3748677852 5623016778 8434525167 11246033556 16869050334 25303575501 33738100668 50607151002 101214302004