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10132342034100 = 223521113236185129
BaseRepresentation
bin1001001101110001111010…
…1001011100111010110100
31022212122100100010011020220
42103130132221130322310
52312002014030042400
633314422250054340
72064015611152356
oct223343651347264
938778310104226
1010132342034100
113257113a24020
121177870a1a3b0
13586625301840
1427059d6890d6
151288736cc7a0
hex9371ea5ceb4

10132342034100 has 144 divisors (see below), whose sum is σ = 34441460397120. Its totient is φ = 2267377228800.

The previous prime is 10132342034093. The next prime is 10132342034141. The reversal of 10132342034100 is 143024323101.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 118049665 + ... + 118135464.

Almost surely, 210132342034100 is an apocalyptic number.

10132342034100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10132342034100 is an abundant number, since it is smaller than the sum of its proper divisors (24309118363020).

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

10132342034100 is a wasteful number, since it uses less digits than its factorization.

10132342034100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236185170 (or 236185163 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 10132342034100 its reverse (143024323101), we get a palindrome (10275366357201).

The spelling of 10132342034100 in words is "ten trillion, one hundred thirty-two billion, three hundred forty-two million, thirty-four thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 13 15 20 22 25 26 30 33 39 44 50 52 55 60 65 66 75 78 100 110 130 132 143 150 156 165 195 220 260 275 286 300 325 330 390 429 550 572 650 660 715 780 825 858 975 1100 1300 1430 1650 1716 1950 2145 2860 3300 3575 3900 4290 7150 8580 10725 14300 21450 42900 236185129 472370258 708555387 944740516 1180925645 1417110774 2361851290 2598036419 2834221548 3070406677 3542776935 4723702580 5196072838 5904628225 6140813354 7085553870 7794109257 9211220031 10392145676 11809256450 12281626708 12990182095 14171107740 15352033385 15588218514 17713884675 18422440062 23618512900 25980364190 30704066770 31176437028 33774473447 35427769350 36844880124 38970546285 46056100155 51960728380 61408133540 64950910475 67548946894 70855538700 76760166925 77941092570 92112200310 101323420341 129901820950 135097893788 153520333850 155882185140 168872367235 184224400620 194852731425 202646840682 230280500775 259803641900 307040667700 337744734470 389705462850 405293681364 460561001550 506617101705 675489468940 779410925700 844361836175 921122003100 1013234203410 1688723672350 2026468406820 2533085508525 3377447344700 5066171017050 10132342034100