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1106157030132 = 22372111710059997
BaseRepresentation
bin10000000110001100000…
…110001100101011110100
310220202011222121022020210
4100012030012030223310
5121110402144431012
62204054520025420
7142626413422500
oct20061406145364
93822158538223
101106157030132
11397133895950
1215a469902270
1380405564a7b
143b7770b1300
151db912a623c
hex1018c18caf4

1106157030132 has 144 divisors (see below), whose sum is σ = 3468043470528. Its totient is φ = 270412692480.

The previous prime is 1106157030109. The next prime is 1106157030157. The reversal of 1106157030132 is 2310307516011.

It is a self number, because there is not a number n which added to its sum of digits gives 1106157030132.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4920043 + ... + 5139954.

It is an arithmetic number, because the mean of its divisors is an integer number (24083635212).

Almost surely, 21106157030132 is an apocalyptic number.

1106157030132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1106157030132 is an abundant number, since it is smaller than the sum of its proper divisors (2361886440396).

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

1106157030132 is a wasteful number, since it uses less digits than its factorization.

1106157030132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10060046 (or 10060037 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 30.

The spelling of 1106157030132 in words is "one trillion, one hundred six billion, one hundred fifty-seven million, thirty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 11 12 14 17 21 22 28 33 34 42 44 49 51 66 68 77 84 98 102 119 132 147 154 187 196 204 231 238 294 308 357 374 462 476 539 561 588 714 748 833 924 1078 1122 1309 1428 1617 1666 2156 2244 2499 2618 3234 3332 3927 4998 5236 6468 7854 9163 9996 15708 18326 27489 36652 54978 109956 10059997 20119994 30179991 40239988 60359982 70419979 110659967 120719964 140839958 171019949 211259937 221319934 281679916 331979901 342039898 422519874 442639868 492939853 513059847 663959802 684079796 774619769 845039748 985879706 1026119694 1197139643 1327919604 1478819559 1549239538 1881219439 1971759412 2052239388 2323859307 2394279286 2957639118 3098479076 3591418929 3762438878 4647718614 4788558572 5422338383 5643658317 5915278236 7182837858 7524877756 8379977501 9295437228 10844676766 11287316634 13168536073 14365675716 16267015149 16759955002 21689353532 22574633268 25139932503 26337072146 32534030298 33519910004 39505608219 50279865006 52674144292 65068060596 79011216438 92179752511 100559730012 158022432876 184359505022 276539257533 368719010044 553078515066 1106157030132