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1100213100312 = 2331997109228199
BaseRepresentation
bin10000000000101001110…
…011111001111100011000
310220011211202001101101220
4100000221303321330120
5121011214023202222
62201233025012040
7142326210023154
oct20005163717430
93804752041356
101100213100312
11394663681457
1215928b184020
137c998c9b331
143b3718da064
151d944546b5c
hex10029cf9f18

1100213100312 has 128 divisors (see below), whose sum is σ = 2951995200000. Its totient is φ = 340697788416.

The previous prime is 1100213100307. The next prime is 1100213100323. The reversal of 1100213100312 is 2130013120011.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1100213100291 and 1100213100300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4707189 + ... + 4935387.

It is an arithmetic number, because the mean of its divisors is an integer number (23062462500).

Almost surely, 21100213100312 is an apocalyptic number.

1100213100312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1100213100312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1475997600000).

1100213100312 is an abundant number, since it is smaller than the sum of its proper divisors (1851782099688).

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

1100213100312 is a wasteful number, since it uses less digits than its factorization.

1100213100312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228433 (or 228429 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 1100213100312 its reverse (2130013120011), we get a palindrome (3230226220323).

The spelling of 1100213100312 in words is "one trillion, one hundred billion, two hundred thirteen million, one hundred thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 97 109 114 152 194 218 228 291 327 388 436 456 582 654 776 872 1164 1308 1843 2071 2328 2616 3686 4142 5529 6213 7372 8284 10573 11058 12426 14744 16568 21146 22116 24852 31719 42292 44232 49704 63438 84584 126876 200887 228199 253752 401774 456398 602661 684597 803548 912796 1205322 1369194 1607096 1825592 2410644 2738388 4335781 4821288 5476776 8671562 13007343 17343124 22135303 24873691 26014686 34686248 44270606 49747382 52029372 66405909 74621073 88541212 99494764 104058744 132811818 149242146 177082424 198989528 265623636 298484292 420570757 472600129 531247272 596968584 841141514 945200258 1261712271 1417800387 1682283028 1890400516 2412748027 2523424542 2835600774 3364566056 3780801032 4825496054 5046849084 5671201548 7238244081 9650992108 10093698168 11342403096 14476488162 19301984216 28952976324 45842212513 57905952648 91684425026 137526637539 183368850052 275053275078 366737700104 550106550156 1100213100312