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100441123049220 = 223547204111745011
BaseRepresentation
bin10110110101100111000101…
…011101011100111100000100
3111011122002002120011020200120
4112311213011131130330010
5101131111410000033340
6553342003120341540
730104426443166112
oct2665470535347404
9434562076136616
10100441123049220
112a004928515068
12b3221b4a748b0
1344077323c77b5
141ab353a7a0ab2
15b92a8658a4d0
hex5b59c575cf04

100441123049220 has 96 divisors (see below), whose sum is σ = 287233107388416. Its totient is φ = 26213121417600.

The previous prime is 100441123049171. The next prime is 100441123049221. The reversal of 100441123049220 is 22940321144001.

It is not an unprimeable number, because it can be changed into a prime (100441123049221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56686515 + ... + 58431525.

It is an arithmetic number, because the mean of its divisors is an integer number (2992011535296).

Almost surely, 2100441123049220 is an apocalyptic number.

100441123049220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100441123049220 is an abundant number, since it is smaller than the sum of its proper divisors (186791984339196).

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

100441123049220 is a wasteful number, since it uses less digits than its factorization.

100441123049220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1765481 (or 1765479 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The spelling of 100441123049220 in words is "one hundred trillion, four hundred forty-one billion, one hundred twenty-three million, forty-nine thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 47 60 94 141 188 235 282 470 564 705 940 1410 2820 20411 40822 61233 81644 102055 122466 204110 244932 306165 408220 612330 959317 1224660 1745011 1918634 2877951 3490022 3837268 4796585 5235033 5755902 6980044 8725055 9593170 10470066 11511804 14389755 17450110 19186340 20940132 26175165 28779510 34900220 52350330 57559020 82015517 104700660 164031034 246046551 328062068 410077585 492093102 820155170 984186204 1230232755 1640310340 2460465510 4920931020 35617419521 71234839042 106852258563 142469678084 178087097605 213704517126 356174195210 427409034252 534261292815 712348390420 1068522585630 1674018717487 2137045171260 3348037434974 5022056152461 6696074869948 8370093587435 10044112304922 16740187174870 20088224609844 25110280762305 33480374349740 50220561524610 100441123049220