Search a number
-
+
102031133120 = 2657172679389
BaseRepresentation
bin101111100000110000…
…1111000100111000000
3100202100201120121002022
41133001201320213000
53132424432224440
6114512241141012
710241266215260
oct1370141704700
9322321517068
10102031133120
113a2a8a07514
121793602a768
139810567767
144d1cb017a0
1529c26ebcb5
hex17c18789c0

102031133120 has 112 divisors (see below), whose sum is σ = 294004105920. Its totient is φ = 32924319744.

The previous prime is 102031133051. The next prime is 102031133167. The reversal of 102031133120 is 21331130201.

It is a tau number, because it is divible by the number of its divisors (112).

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

It is a congruent number.

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, 1301615 + ... + 1377774.

It is an arithmetic number, because the mean of its divisors is an integer number (2625036660).

Almost surely, 2102031133120 is an apocalyptic number.

102031133120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102031133120 is an abundant number, since it is smaller than the sum of its proper divisors (191972972800).

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

102031133120 is a wasteful number, since it uses less digits than its factorization.

102031133120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2679430 (or 2679420 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 102031133120 its reverse (21331130201), we get a palindrome (123362263321).

The spelling of 102031133120 in words is "one hundred two billion, thirty-one million, one hundred thirty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 28 32 34 35 40 56 64 68 70 80 85 112 119 136 140 160 170 224 238 272 280 320 340 448 476 544 560 595 680 952 1088 1120 1190 1360 1904 2240 2380 2720 3808 4760 5440 7616 9520 19040 38080 2679389 5358778 10717556 13396945 18755723 21435112 26793890 37511446 42870224 45549613 53587780 75022892 85740448 91099226 93778615 107175560 150045784 171480896 182198452 187557230 214351120 227748065 300091568 318847291 364396904 375114460 428702240 455496130 600183136 637694582 728793808 750228920 857404480 910992260 1200366272 1275389164 1457587616 1500457840 1594236455 1821984520 2550778328 2915175232 3000915680 3188472910 3643969040 5101556656 6001831360 6376945820 7287938080 10203113312 12753891640 14575876160 20406226624 25507783280 51015566560 102031133120