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104134011020 = 2251321714912163
BaseRepresentation
bin110000011111011011…
…1101110100010001100
3100221210021111212020222
41200332313232202030
53201231301323040
6115501041130512
710344352326524
oct1407667564214
9327707455228
10104134011020
1140187a30836
1218222329a38
139a87122500
14507c0da684
152a97131bb5
hex183edee88c

104134011020 has 144 divisors (see below), whose sum is σ = 252429760800. Its totient is φ = 35941920768.

The previous prime is 104134011017. The next prime is 104134011049. The reversal of 104134011020 is 20110431401.

It is a happy number.

It is a super-2 number, since 2×1041340110202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 104134011020.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8555459 + ... + 8567621.

It is an arithmetic number, because the mean of its divisors is an integer number (1752984450).

Almost surely, 2104134011020 is an apocalyptic number.

104134011020 is a gapful number since it is divisible by the number (10) 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 104134011020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126214880400).

104134011020 is an abundant number, since it is smaller than the sum of its proper divisors (148295749780).

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

104134011020 is a wasteful number, since it uses less digits than its factorization.

104134011020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12364 (or 12349 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 104134011020 its reverse (20110431401), we get a palindrome (124244442421).

The spelling of 104134011020 in words is "one hundred four billion, one hundred thirty-four million, eleven thousand, twenty".

Divisors: 1 2 4 5 10 13 17 20 26 34 52 65 68 85 130 149 169 170 221 260 298 338 340 442 596 676 745 845 884 1105 1490 1690 1937 2210 2533 2873 2980 3380 3874 4420 5066 5746 7748 9685 10132 11492 12163 12665 14365 19370 24326 25181 25330 28730 32929 38740 48652 50362 50660 57460 60815 65858 100724 121630 125905 131716 158119 164645 206771 243260 251810 316238 329290 413542 428077 503620 632476 658580 790595 827084 856154 1033855 1581190 1712308 1812287 2055547 2067710 2140385 2688023 3162380 3624574 4111094 4135420 4280770 5376046 7249148 8222188 8561540 9061435 10277735 10752092 13440115 18122870 20555470 23559731 26880230 30808879 34944299 36245740 41110940 47119462 53760460 61617758 69888598 94238924 117798655 123235516 139777196 154044395 174721495 235597310 306276503 308088790 349442990 400515427 471194620 612553006 616177580 698885980 801030854 1225106012 1531382515 1602061708 2002577135 3062765030 4005154270 5206700551 6125530060 8010308540 10413401102 20826802204 26033502755 52067005510 104134011020