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1052113210040 = 235257353383757
BaseRepresentation
bin11110100111101101101…
…01011000101010111000
310201120200120121210022102
433103312311120222320
5114214211440210130
62123200101242532
7136004226505004
oct17236665305270
93646616553272
101052113210040
11376220529a22
1214baa6703448
13782a1aa00b9
1438ccb6a1704
151c57b8d2645
hexf4f6d58ab8

1052113210040 has 128 divisors (see below), whose sum is σ = 2392576911360. Its totient is φ = 416377995264.

The previous prime is 1052113210037. The next prime is 1052113210081. The reversal of 1052113210040 is 400123112501.

It is a super-2 number, since 2×10521132100402 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1052113209994 and 1052113210021.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1389845342 + ... + 1389846098.

It is an arithmetic number, because the mean of its divisors is an integer number (18692007120).

Almost surely, 21052113210040 is an apocalyptic number.

1052113210040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1052113210040 is an abundant number, since it is smaller than the sum of its proper divisors (1340463701320).

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

1052113210040 is a wasteful number, since it uses less digits than its factorization.

1052113210040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1761 (or 1757 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

Adding to 1052113210040 its reverse (400123112501), we get a palindrome (1452236322541).

The spelling of 1052113210040 in words is "one trillion, fifty-two billion, one hundred thirteen million, two hundred ten thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 257 353 383 514 706 757 766 1028 1285 1412 1514 1532 1765 1915 2056 2570 2824 3028 3064 3530 3785 3830 5140 6056 7060 7570 7660 10280 14120 15140 15320 30280 90721 98431 135199 181442 194549 196862 267221 270398 289931 362884 389098 393724 453605 492155 534442 540796 579862 675995 725768 778196 787448 907210 972745 984310 1068884 1081592 1159724 1336105 1351990 1449655 1556392 1814420 1945490 1968620 2137768 2319448 2672210 2703980 2899310 3628840 3890980 3937240 5344420 5407960 5798620 7781960 10688840 11597240 34746143 68675797 69492286 74512267 102345643 137351594 138984572 149024534 173730715 204691286 274703188 277969144 298049068 343378985 347461430 372561335 409382572 511728215 549406376 596098136 686757970 694922860 745122670 818765144 1023456430 1373515940 1389845720 1490245340 2046912860 2747031880 2980490680 4093825720 26302830251 52605660502 105211321004 131514151255 210422642008 263028302510 526056605020 1052113210040