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103133003001024 = 2631494229852457
BaseRepresentation
bin10111011100110010000110…
…000000100010110011000000
3111112011102022022012022022210
4113130302012000202303000
5102004212342232013044
61003202351510102120
730503053646225613
oct2734620600426300
9445142268168283
10103133003001024
112a952508582107
12b697a4a04a940
134571528a42b49
141b67941d5c17a
15bdcad58101b9
hex5dcc86022cc0

103133003001024 has 112 divisors (see below), whose sum is σ = 274769377308000. Its totient is φ = 34138830544896.

The previous prime is 103133003001023. The next prime is 103133003001037. The reversal of 103133003001024 is 420100300331301.

It is not an unprimeable number, because it can be changed into a prime (103133003001023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 120557004 + ... + 121409460.

Almost surely, 2103133003001024 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 103133003001024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137384688654000).

103133003001024 is an abundant number, since it is smaller than the sum of its proper divisors (171636374306976).

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

103133003001024 is a wasteful number, since it uses less digits than its factorization.

103133003001024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 856850 (or 856840 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 103133003001024 its reverse (420100300331301), we get a palindrome (523233303332325).

The spelling of 103133003001024 in words is "one hundred three trillion, one hundred thirty-three billion, three million, one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 149 192 298 447 596 894 1192 1788 2384 3576 4229 4768 7152 8458 9536 12687 14304 16916 25374 28608 33832 50748 67664 101496 135328 202992 270656 405984 630121 811968 852457 1260242 1704914 1890363 2520484 2557371 3409828 3780726 5040968 5114742 6819656 7561452 10081936 10229484 13639312 15122904 20163872 20458968 27278624 30245808 40327744 40917936 54557248 60491616 81835872 120983232 127016093 163671744 254032186 381048279 508064372 762096558 1016128744 1524193116 2032257488 3048386232 3605040653 4064514976 6096772464 7210081306 8129029952 10815121959 12193544928 14420162612 21630243918 24387089856 28840325224 43260487836 57680650448 86520975672 115361300896 173041951344 230722601792 346083902688 537151057297 692167805376 1074302114594 1611453171891 2148604229188 3222906343782 4297208458376 6445812687564 8594416916752 12891625375128 17188833833504 25783250750256 34377667667008 51566501500512 103133003001024