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101120000000100 = 223521663516739227
BaseRepresentation
bin10110111111011111010101…
…101011100000000001100100
3111021000222101122220120101220
4112333133111223200001210
5101223222230000000400
6555021515305420340
730204451603104054
oct2677372553400144
9437028348816356
10101120000000100
112a246829897274
12b41189749a6b0
1344567625c8bb3
141ad833c5a1564
15ba556aedb7a0
hex5bf7d5ae0064

101120000000100 has 144 divisors (see below), whose sum is σ = 292813920043008. Its totient is φ = 26943215967360.

The previous prime is 101120000000099. The next prime is 101120000000119. The reversal of 101120000000100 is 1000000021101.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

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, 2577796687 + ... + 2577835913.

Almost surely, 2101120000000100 is an apocalyptic number.

101120000000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101120000000100 is an abundant number, since it is smaller than the sum of its proper divisors (191693920042908).

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

101120000000100 is a wasteful number, since it uses less digits than its factorization.

101120000000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46074 (or 46067 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 101120000000100 its reverse (1000000021101), we get a palindrome (102120000021201).

The spelling of 101120000000100 in words is "one hundred one trillion, one hundred twenty billion, one hundred", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 1663 3326 4989 5167 6652 8315 9978 10334 15501 16630 19956 20668 24945 25835 31002 33260 39227 41575 49890 51670 62004 77505 78454 83150 99780 103340 117681 124725 129175 155010 156908 166300 196135 235362 249450 258350 310020 387525 392270 470724 498900 516700 588405 775050 784540 980675 1176810 1550100 1961350 2353620 2942025 3922700 5884050 8592721 11768100 17185442 25778163 34370884 42963605 51556326 65234501 85927210 103112652 128890815 130469002 171854420 195703503 202685909 214818025 257781630 260938004 326172505 391407006 405371818 429636050 515563260 608057727 644454075 652345010 782814012 810743636 859272100 978517515 1013429545 1216115454 1288908150 1304690020 1630862525 1957035030 2026859090 2432230908 2577816300 3040288635 3261725050 3914070060 4053718180 4892587575 5067147725 6080577270 6523450100 9785175150 10134295450 12161154540 15201443175 19570350300 20268590900 30402886350 60805772700 337066666667 674133333334 1011200000001 1348266666668 1685333333335 2022400000002 3370666666670 4044800000004 5056000000005 6741333333340 8426666666675 10112000000010 16853333333350 20224000000020 25280000000025 33706666666700 50560000000050 101120000000100