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100561056050 = 252721311327941
BaseRepresentation
bin101110110100111100…
…1111111000100110010
3100121120021100221110102
41131221321333010302
53121422112243200
6114110324232402
710156665605300
oct1355171770462
9317507327412
10100561056050
1139714104894
12175a583b702
139637b21380
144c1d78b270
1529386136d5
hex1769e7f132

100561056050 has 144 divisors (see below), whose sum is σ = 236400385032. Its totient is φ = 31543142400.

The previous prime is 100561056031. The next prime is 100561056091. The reversal of 100561056050 is 50650165001.

It can be written as a sum of positive squares in 12 ways, for example, as 7537886041 + 93023170009 = 86821^2 + 304997^2 .

It is a super-2 number, since 2×1005610560502 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3585080 + ... + 3613020.

Almost surely, 2100561056050 is an apocalyptic number.

100561056050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100561056050 is an abundant number, since it is smaller than the sum of its proper divisors (135839328982).

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

100561056050 is a wasteful number, since it uses less digits than its factorization.

100561056050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28093 (or 28081 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 29.

The spelling of 100561056050 in words is "one hundred billion, five hundred sixty-one million, fifty-six thousand, fifty".

Divisors: 1 2 5 7 10 13 14 25 26 35 49 50 65 70 91 98 113 130 175 182 226 245 325 350 455 490 565 637 650 791 910 1130 1225 1274 1469 1582 2275 2450 2825 2938 3185 3955 4550 5537 5650 6370 7345 7910 10283 11074 14690 15925 19775 20566 27685 27941 31850 36725 39550 51415 55370 55882 71981 73450 102830 138425 139705 143962 195587 257075 276850 279410 359905 363233 391174 514150 698525 719810 726466 977935 1369109 1397050 1799525 1816165 1955870 2542631 2738218 3157333 3599050 3632330 4889675 5085262 6314666 6845545 9080825 9779350 12713155 13691090 15786665 17798417 18161650 22101331 25426310 31573330 34227725 35596834 41045329 44202662 63565775 68455450 78933325 82090658 88992085 110506655 127131550 154709317 157866650 177984170 205226645 221013310 287317303 309418634 410453290 444960425 552533275 574634606 773546585 889920850 1026133225 1105066550 1436586515 1547093170 2011221121 2052266450 2873173030 3867732925 4022442242 7182932575 7735465850 10056105605 14365865150 20112211210 50280528025 100561056050