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1002152113434 = 23441891695293
BaseRepresentation
bin11101001010101001110…
…10111011010100011010
310112210201201000010010000
432211110322323110122
5112404401420112214
62044214325433430
7132255156262143
oct16452472732432
93483651003100
101002152113434
1135701281863a
1214228286b876
137366c101a44
143670c1baaca
151b105674809
hexe954ebb51a

1002152113434 has 80 divisors (see below), whose sum is σ = 2326180709160. Its totient is φ = 322241103360.

The previous prime is 1002152113427. The next prime is 1002152113507. The reversal of 1002152113434 is 4343112512001.

1002152113434 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 1 + 521 + 134 + 3 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 184569048225 + 817583065209 = 429615^2 + 904203^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1002152113398 and 1002152113407.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 256509 + ... + 1438784.

Almost surely, 21002152113434 is an apocalyptic number.

1002152113434 is an abundant number, since it is smaller than the sum of its proper divisors (1324028595726).

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

1002152113434 is a wasteful number, since it uses less digits than its factorization.

1002152113434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1695437 (or 1695428 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 1002152113434 its reverse (4343112512001), we get a palindrome (5345264625435).

The spelling of 1002152113434 in words is "one trillion, two billion, one hundred fifty-two million, one hundred thirteen thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 41 54 81 82 89 123 162 178 246 267 369 534 738 801 1107 1602 2214 2403 3321 3649 4806 6642 7209 7298 10947 14418 21894 32841 65682 98523 197046 295569 591138 1695293 3390586 5085879 10171758 15257637 30515274 45772911 69507013 91545822 137318733 139014026 150881077 208521039 274637466 301762154 417042078 452643231 625563117 905286462 1251126234 1357929693 1876689351 2715859386 3753378702 4073789079 5630068053 6186124157 8147578158 11260136106 12221367237 12372248314 18558372471 24442734474 37116744942 55675117413 111350234826 167025352239 334050704478 501076056717 1002152113434