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100220112202200 = 233521171914253223
BaseRepresentation
bin10110110010011001010000…
…001011111110100111011000
3111010211221121221020221111220
4112302121100023332213120
5101114001242210432300
6553052252311052040
730052443544036254
oct2662312013764730
9433757557227456
10100220112202200
1129a2a124672591
12b2a73b4971020
1343bc940166583
141aa6972065264
15b8be4d774da0
hex5b26502fe9d8

100220112202200 has 96 divisors (see below), whose sum is σ = 310708880620800. Its totient is φ = 26723080863360.

The previous prime is 100220112202193. The next prime is 100220112202241. The reversal of 100220112202200 is 2202211022001.

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 100220112202200.

It is a congruent 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, 95212 + ... + 14158011.

It is an arithmetic number, because the mean of its divisors is an integer number (3236550839800).

Almost surely, 2100220112202200 is an apocalyptic number.

100220112202200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100220112202200 is an abundant number, since it is smaller than the sum of its proper divisors (210488768418600).

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

100220112202200 is a wasteful number, since it uses less digits than its factorization.

100220112202200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14264961 (or 14264952 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 100220112202200 its reverse (2202211022001), we get a palindrome (102422323224201).

The spelling of 100220112202200 in words is "one hundred trillion, two hundred twenty billion, one hundred twelve million, two hundred two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 11719 23438 35157 46876 58595 70314 93752 117190 140628 175785 234380 281256 292975 351570 468760 585950 703140 878925 1171900 1406280 1757850 2343800 3515700 7031400 14253223 28506446 42759669 57012892 71266115 85519338 114025784 142532230 171038676 213798345 285064460 342077352 356330575 427596690 570128920 712661150 855193380 1068991725 1425322300 1710386760 2137983450 2850644600 4275966900 8551933800 167033520337 334067040674 501100561011 668134081348 835167601685 1002201122022 1336268162696 1670335203370 2004402244044 2505502805055 3340670406740 4008804488088 4175838008425 5011005610110 6681340813480 8351676016850 10022011220220 12527514025275 16703352033700 20044022440440 25055028050550 33406704067400 50110056101100 100220112202200