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102231120032 = 2517415977687
BaseRepresentation
bin101111100110101110…
…0110001100010100000
3100202212122212222112222
41133031130301202200
53133332131320112
6114544143410212
710246245116426
oct1371534614240
9322778788488
10102231120032
113a3a0890658
1217990bb3968
139842b18b02
144d3b4bd116
1529d5052372
hex17cd7318a0

102231120032 has 96 divisors (see below), whose sum is σ = 222007443840. Its totient is φ = 46139269120.

The previous prime is 102231119989. The next prime is 102231120041. The reversal of 102231120032 is 230021132201.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1277093 + ... + 1354779.

It is an arithmetic number, because the mean of its divisors is an integer number (2312577540).

Almost surely, 2102231120032 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 102231120032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111003721920).

102231120032 is an abundant number, since it is smaller than the sum of its proper divisors (119776323808).

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

102231120032 is a wasteful number, since it uses less digits than its factorization.

102231120032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77814 (or 77806 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 102231120032 its reverse (230021132201), we get a palindrome (332252252233).

The spelling of 102231120032 in words is "one hundred two billion, two hundred thirty-one million, one hundred twenty thousand, thirty-two".

Divisors: 1 2 4 8 16 17 32 34 41 59 68 82 118 136 164 236 272 328 472 544 656 697 944 1003 1312 1394 1888 2006 2419 2788 4012 4838 5576 8024 9676 11152 16048 19352 22304 32096 38704 41123 77408 77687 82246 155374 164492 310748 328984 621496 657968 1242992 1315936 1320679 2485984 2641358 3185167 4583533 5282716 6370334 9167066 10565432 12740668 18334132 21130864 25481336 36668264 42261728 50962672 54147839 73336528 77920061 101925344 108295678 146673056 155840122 187924853 216591356 311680244 375849706 433182712 623360488 751699412 866365424 1246720976 1503398824 1732730848 2493441952 3006797648 3194722501 6013595296 6389445002 12778890004 25557780008 51115560016 102231120032