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103031223001020 = 22345279012279471
BaseRepresentation
bin10111011011010011010011…
…011100101001111110111100
3111111210200121002011121010000
4113123103103130221332330
5102001030421042013040
61003043520155314300
730462521516421666
oct2733232334517674
9444720532147100
10103031223001020
112a913329402726
12b68018414b990
134564a58526782
141b62a4874d536
15bda12a1bd130
hex5db4d3729fbc

103031223001020 has 120 divisors (see below), whose sum is σ = 323224488595008. Its totient is φ = 27473996016000.

The previous prime is 103031223001013. The next prime is 103031223001051. The reversal of 103031223001020 is 20100322130301.

103031223001020 is a `hidden beast` number, since 1 + 0 + 30 + 312 + 2 + 300 + 1 + 0 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 103031223000984 and 103031223001002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 44059885 + ... + 46339355.

Almost surely, 2103031223001020 is an apocalyptic number.

103031223001020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103031223001020 is an abundant number, since it is smaller than the sum of its proper divisors (220193265593988).

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

103031223001020 is a wasteful number, since it uses less digits than its factorization.

103031223001020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2307393 (or 2307382 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 103031223001020 its reverse (20100322130301), we get a palindrome (123131545131321).

The spelling of 103031223001020 in words is "one hundred three trillion, thirty-one billion, two hundred twenty-three million, one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 27901 55802 83703 111604 139505 167406 251109 279010 334812 418515 502218 558020 753327 837030 1004436 1255545 1506654 1674060 2259981 2279471 2511090 3013308 3766635 4519962 4558942 5022180 6838413 7533270 9039924 9117884 11299905 11397355 13676826 15066540 20515239 22599810 22794710 27353652 34192065 41030478 45199620 45589420 61545717 68384130 82060956 102576195 123091434 136768260 184637151 205152390 246182868 307728585 369274302 410304780 615457170 738548604 923185755 1230914340 1846371510 3692743020 63599520371 127199040742 190798561113 254398081484 317997601855 381597122226 572395683339 635995203710 763194244452 953992805565 1144791366678 1271990407420 1717187050017 1907985611130 2289582733356 2861978416695 3434374100034 3815971222260 5151561150051 5723956833390 6868748200068 8585935250085 10303122300102 11447913666780 17171870500170 20606244600204 25757805750255 34343741000340 51515611500510 103031223001020