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100505106050 = 252411312711381
BaseRepresentation
bin101110110011010010…
…0100011011010000010
3100121102101002101111012
41131212210203122002
53121313301343200
6114101005120522
710155416206616
oct1354644433202
9317371071435
10100505106050
113969556a818
121758ab59142
13962936196b
144c16185346
152933760a35
hex1766923682

100505106050 has 96 divisors (see below), whose sum is σ = 193813095168. Its totient is φ = 38750400000.

The previous prime is 100505106001. The next prime is 100505106059. The reversal of 100505106050 is 50601505001.

It is not an unprimeable number, because it can be changed into a prime (100505106059) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 72776360 + ... + 72777740.

It is an arithmetic number, because the mean of its divisors is an integer number (2018886408).

Almost surely, 2100505106050 is an apocalyptic number.

100505106050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100505106050 is a deficient number, since it is larger than the sum of its proper divisors (93307989118).

100505106050 is a wasteful number, since it uses less digits than its factorization.

100505106050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1836 (or 1831 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 23.

The spelling of 100505106050 in words is "one hundred billion, five hundred five million, one hundred six thousand, fifty".

Divisors: 1 2 5 10 25 41 50 82 131 205 262 271 410 542 655 1025 1310 1355 1381 2050 2710 2762 3275 5371 6550 6775 6905 10742 11111 13550 13810 22222 26855 34525 35501 53710 55555 56621 69050 71002 111110 113242 134275 177505 180911 268550 277775 283105 355010 361822 374251 555550 566210 748502 887525 904555 1415525 1455541 1775050 1809110 1871255 2831050 2911082 3742510 4522775 7277705 7417351 9045550 9356275 14555410 14834702 15344291 18712550 30688582 36388525 37086755 49026881 72777050 74173510 76721455 98053762 153442910 185433775 245134405 370867550 383607275 490268810 767214550 1225672025 2010102121 2451344050 4020204242 10050510605 20101021210 50252553025 100505106050