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100200111220110 = 235114110173324487
BaseRepresentation
bin10110110010000110101000…
…000010010010010110001110
3111010210001000000212210002110
4112302012220002102112032
5101113134311433020420
6553035143504404450
730051135110352156
oct2662065002222616
9433701000783073
10100200111220110
1129a216a0632720
12b2a3552616726
1343baaa3506925
141aa59d59a5766
15b8b67c8b2ee0
hex5b21a809258e

100200111220110 has 128 divisors (see below), whose sum is σ = 271401500095488. Its totient is φ = 23463835520000.

The previous prime is 100200111220093. The next prime is 100200111220117. The reversal of 100200111220110 is 11022111002001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100200111220117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35295714 + ... + 38028773.

It is an arithmetic number, because the mean of its divisors is an integer number (2120324219496).

Almost surely, 2100200111220110 is an apocalyptic number.

100200111220110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100200111220110 is an abundant number, since it is smaller than the sum of its proper divisors (171201388875378).

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

100200111220110 is a wasteful number, since it uses less digits than its factorization.

100200111220110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73324650.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 100200111220110 its reverse (11022111002001), we get a palindrome (111222222222111).

The spelling of 100200111220110 in words is "one hundred trillion, two hundred billion, one hundred eleven million, two hundred twenty thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 41 55 66 82 101 110 123 165 202 205 246 303 330 410 451 505 606 615 902 1010 1111 1230 1353 1515 2222 2255 2706 3030 3333 4141 4510 5555 6666 6765 8282 11110 12423 13530 16665 20705 24846 33330 41410 45551 62115 91102 124230 136653 227755 273306 455510 683265 1366530 73324487 146648974 219973461 366622435 439946922 733244870 806569357 1099867305 1613138714 2199734610 2419708071 3006303967 4032846785 4839416142 6012607934 7405773187 8065693570 9018911901 12098540355 14811546374 15031519835 18037823802 22217319561 24197080710 30063039670 33069343637 37028865935 44434639122 45094559505 66138687274 74057731870 81463505057 90189119010 99208030911 111086597805 162927010114 165346718185 198416061822 222173195610 244390515171 303636700667 330693436370 407317525285 488781030342 496040154555 607273401334 814635050570 910910102001 992080309110 1221952575855 1518183503335 1821820204002 2443905151710 3036367006670 3340003707337 4554550510005 6680007414674 9109101020010 10020011122011 16700018536685 20040022244022 33400037073370 50100055610055 100200111220110