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100220112200 = 23521347838059
BaseRepresentation
bin101110101010110010…
…1011000110101001000
3100120200111211012102102
41131111211120311020
53120222322042300
6114012424452532
710145355620015
oct1352545306510
9316614735372
10100220112200
113955970570a
121750b61a148
1395b22b9250
144bca39a70c
1529187180d5
hex1755958d48

100220112200 has 96 divisors (see below), whose sum is σ = 251019350400. Its totient is φ = 36992021760.

The previous prime is 100220112131. The next prime is 100220112217. The reversal of 100220112200 is 2211022001.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12431771 + ... + 12439829.

It is an arithmetic number, because the mean of its divisors is an integer number (2614784900).

Almost surely, 2100220112200 is an apocalyptic number.

100220112200 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 100220112200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125509675200).

100220112200 is an abundant number, since it is smaller than the sum of its proper divisors (150799238200).

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

100220112200 is a wasteful number, since it uses less digits than its factorization.

100220112200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12871 (or 12862 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 100220112200 its reverse (2211022001), we get a palindrome (102431134201).

The spelling of 100220112200 in words is "one hundred billion, two hundred twenty million, one hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 520 650 1300 2600 4783 8059 9566 16118 19132 23915 32236 38264 40295 47830 62179 64472 80590 95660 104767 119575 124358 161180 191320 201475 209534 239150 248716 310895 322360 402950 419068 478300 497432 523835 621790 805900 838136 956600 1047670 1243580 1554475 1611800 2095340 2487160 2619175 3108950 4190680 5238350 6217900 10476700 12435800 20953400 38546197 77092394 154184788 192730985 308369576 385461970 501100561 770923940 963654925 1002201122 1541847880 1927309850 2004402244 2505502805 3854619700 4008804488 5011005610 7709239400 10022011220 12527514025 20044022440 25055028050 50110056100 100220112200