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112113032100 = 2235219137143569
BaseRepresentation
bin110100001101001110…
…1010001101110100100
3101201101100110010111020
41220122131101232210
53314101414011400
6123300511211140
711046160022616
oct1503235215644
9351340403436
10112113032100
114360197a433
121988a516ab0
13a7591cb764
1455d7aa2db6
152db28862a0
hex1a1a751ba4

112113032100 has 144 divisors (see below), whose sum is σ = 343947777600. Its totient is φ = 28116357120.

The previous prime is 112113032089. The next prime is 112113032123. The reversal of 112113032100 is 1230311211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 112113032100.

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, 709116 + ... + 852684.

Almost surely, 2112113032100 is an apocalyptic number.

112113032100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112113032100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171973888800).

112113032100 is an abundant number, since it is smaller than the sum of its proper divisors (231834745500).

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

112113032100 is a wasteful number, since it uses less digits than its factorization.

112113032100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143742 (or 143735 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 112113032100 its reverse (1230311211), we get a palindrome (113343343311).

The spelling of 112113032100 in words is "one hundred twelve billion, one hundred thirteen million, thirty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 50 57 60 75 76 95 100 114 137 150 190 228 274 285 300 380 411 475 548 570 685 822 950 1140 1370 1425 1644 1900 2055 2603 2740 2850 3425 4110 5206 5700 6850 7809 8220 10275 10412 13015 13700 15618 20550 26030 31236 39045 41100 52060 65075 78090 130150 143569 156180 195225 260300 287138 390450 430707 574276 717845 780900 861414 1435690 1722828 2153535 2727811 2871380 3589225 4307070 5455622 7178450 8183433 8614140 10767675 10911244 13639055 14356900 16366866 19668953 21535350 27278110 32733732 39337906 40917165 43070700 54556220 59006859 68195275 78675812 81834330 98344765 118013718 136390550 163668660 196689530 204585825 236027436 272781100 295034295 373710107 393379060 409171650 491723825 590068590 747420214 818343300 983447650 1121130321 1180137180 1475171475 1494840428 1868550535 1966895300 2242260642 2950342950 3737101070 4484521284 5605651605 5900685900 7474202140 9342752675 11211303210 18685505350 22422606420 28028258025 37371010700 56056516050 112113032100