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100150565028 = 223312411911109
BaseRepresentation
bin101110101000101110…
…0000101100010100100
3100120111122221211122020
41131101130011202210
53120102021040103
6114001502103140
710143552520413
oct1352134054244
9316448854566
10100150565028
1139523423908
12174b027aab0
1395a0a78887
144bc105547a
15291257b753
hex17517058a4

100150565028 has 144 divisors (see below), whose sum is σ = 248874716160. Its totient is φ = 31325376000.

The previous prime is 100150565027. The next prime is 100150565057. The reversal of 100150565028 is 820565051001.

It is a self number, because there is not a number n which added to its sum of digits gives 100150565028.

It is not an unprimeable number, because it can be changed into a prime (100150565027) 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, 90306538 + ... + 90307646.

It is an arithmetic number, because the mean of its divisors is an integer number (1728296640).

Almost surely, 2100150565028 is an apocalyptic number.

It is an amenable number.

100150565028 is an abundant number, since it is smaller than the sum of its proper divisors (148724151132).

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

100150565028 is a wasteful number, since it uses less digits than its factorization.

100150565028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1410 (or 1377 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 33.

The spelling of 100150565028 in words is "one hundred billion, one hundred fifty million, five hundred sixty-five thousand, twenty-eight".

Divisors: 1 2 3 4 6 12 31 41 62 82 93 123 124 164 186 191 246 372 382 492 573 764 961 1109 1146 1271 1922 2218 2292 2542 2883 3327 3813 3844 4436 5084 5766 5921 6654 7626 7831 11532 11842 13308 15252 15662 17763 23493 23684 31324 34379 35526 39401 45469 46986 68758 71052 78802 90938 93972 103137 118203 136407 137516 157604 181876 183551 206274 211819 236406 242761 272814 367102 412548 423638 472812 485522 545628 550653 635457 728283 734204 847276 971044 1065749 1101306 1270914 1409539 1456566 2131498 2202612 2541828 2819078 2913132 3197247 4228617 4262996 5638156 6394494 6566389 7525591 8457234 8684579 12788988 13132778 15051182 16914468 17369158 19699167 22576773 26053737 26265556 30102364 34738316 39398334 43695709 45153546 52107474 78796668 87391418 90307092 104214948 131087127 174782836 203558059 262174254 269221949 407116118 524348508 538443898 610674177 807665847 814232236 1076887796 1221348354 1615331694 2442696708 3230663388 8345880419 16691760838 25037641257 33383521676 50075282514 100150565028