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1102134630276 = 223219292092
BaseRepresentation
bin10000000010011100010…
…101111101011110000100
310220100210122202012222100
4100002130111331132010
5121024132431132101
62202151430032100
7142424631533301
oct20023425753604
93810718665870
101102134630276
1139545a2a2349
121597267a8630
137cc140cc804
143b4b4baa0a8
151da080a8e86
hex1009c57d784

1102134630276 has 81 divisors (see below), whose sum is σ = 2940617085861. Its totient is φ = 348004721088.

The previous prime is 1102134630239. The next prime is 1102134630283. The reversal of 1102134630276 is 6720364312011.

The square root of 1102134630276 is 1049826.

It is a perfect power (a square), and thus also a powerful number.

1102134630276 is a `hidden beast` number, since 1 + 1 + 0 + 2 + 1 + 346 + 302 + 7 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 167587071876 + 934547558400 = 409374^2 + 966720^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1102134630276.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 119675560 + ... + 119684768.

Almost surely, 21102134630276 is an apocalyptic number.

1102134630276 is the 1049826-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1102134630276

1102134630276 is an abundant number, since it is smaller than the sum of its proper divisors (1838482455585).

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

1102134630276 is an frugal number, since it uses more digits than its factorization.

1102134630276 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18466 (or 9233 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

Multiplying 1102134630276 by its sum of digits (36), we get a square (39676846689936 = 62989562).

1102134630276 divided by its sum of digits (36) gives a square (30614850841 = 1749712).

Adding to 1102134630276 its reverse (6720364312011), we get a palindrome (7822498942287).

The spelling of 1102134630276 in words is "one trillion, one hundred two billion, one hundred thirty-four million, six hundred thirty thousand, two hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 361 684 722 1083 1444 2166 3249 4332 6498 9209 12996 18418 27627 36836 55254 82881 110508 165762 174971 331524 349942 524913 699884 1049826 1574739 2099652 3149478 3324449 6298956 6648898 9973347 13297796 19946694 29920041 39893388 59840082 84805681 119680164 169611362 254417043 339222724 508834086 763251129 1017668172 1526502258 1611307939 3053004516 3222615878 4833923817 6445231756 9667847634 14501771451 19335695268 29003542902 30614850841 58007085804 61229701682 91844552523 122459403364 183689105046 275533657569 367378210092 551067315138 1102134630276