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100220330012100 = 223522333743099957
BaseRepresentation
bin10110110010011001011101…
…001010110110110111000100
3111010211222012010002211112020
4112302121131022312313010
5101114002213440341400
6553052330051323140
730052452130301454
oct2662313512666704
9433758163084466
10100220330012100
1129a2a22660a371
12b2a74558b04b0
1343bc97631817c
141aa6992d61d64
15b8be6294b2a0
hex5b265d2b6dc4

100220330012100 has 144 divisors (see below), whose sum is σ = 303476113868928. Its totient is φ = 25487589980160.

The previous prime is 100220330012081. The next prime is 100220330012107. The reversal of 100220330012100 is 1210033022001.

It is a super-2 number, since 2×1002203300121002 (a number of 29 digits) contains 22 as substring.

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 100220330012100.

It is not an unprimeable number, because it can be changed into a prime (100220330012107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19224679 + ... + 23875278.

Almost surely, 2100220330012100 is an apocalyptic number.

100220330012100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100220330012100 is an abundant number, since it is smaller than the sum of its proper divisors (203255783856828).

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

100220330012100 is a wasteful number, since it uses less digits than its factorization.

100220330012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43100334 (or 43100327 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 100220330012100 its reverse (1210033022001), we get a palindrome (101430363034101).

The spelling of 100220330012100 in words is "one hundred trillion, two hundred twenty billion, three hundred thirty million, twelve thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 25 30 46 50 60 69 75 92 100 115 138 150 230 276 300 337 345 460 575 674 690 1011 1150 1348 1380 1685 1725 2022 2300 3370 3450 4044 5055 6740 6900 7751 8425 10110 15502 16850 20220 23253 25275 31004 33700 38755 46506 50550 77510 93012 101100 116265 155020 193775 232530 387550 465060 581325 775100 1162650 2325300 43099957 86199914 129299871 172399828 215499785 258599742 430999570 517199484 646499355 861999140 991299011 1077498925 1292998710 1982598022 2154997850 2585997420 2973897033 3232496775 3965196044 4309995700 4956495055 5947794066 6464993550 9912990110 11895588132 12929987100 14524685509 14869485165 19825980220 24782475275 29049371018 29738970330 43574056527 49564950550 58098742036 59477940660 72623427545 74347425825 87148113054 99129901100 145246855090 148694851650 174296226108 217870282635 290493710180 297389703300 334067766707 363117137725 435740565270 668135533414 726234275450 871481130540 1002203300121 1089351413175 1336271066828 1452468550900 1670338833535 2004406600242 2178702826350 3340677667070 4008813200484 4357405652700 5011016500605 6681355334140 8351694167675 10022033001210 16703388335350 20044066002420 25055082503025 33406776670700 50110165006050 100220330012100