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102011331420 = 22335474019359
BaseRepresentation
bin101111100000001011…
…0010110001101011100
3100202022100022120021000
41133000112112031130
53132404400101140
6114510252510300
710240636003335
oct1370026261534
9322270276230
10102011331420
113a298812179
121792b47b390
13980942368b
144d1a22928c
1529c0ad9a30
hex17c059635c

102011331420 has 96 divisors (see below), whose sum is σ = 324121190400. Its totient is φ = 26624227392.

The previous prime is 102011331413. The next prime is 102011331473. The reversal of 102011331420 is 24133110201.

102011331420 is a `hidden beast` number, since 1 + 0 + 201 + 13 + 31 + 420 = 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 = 102011331393 and 102011331402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1984300 + ... + 2035059.

It is an arithmetic number, because the mean of its divisors is an integer number (3376262400).

Almost surely, 2102011331420 is an apocalyptic number.

102011331420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102011331420 is an abundant number, since it is smaller than the sum of its proper divisors (222109858980).

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

102011331420 is a wasteful number, since it uses less digits than its factorization.

102011331420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4019424 (or 4019416 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 102011331420 its reverse (24133110201), we get a palindrome (126144441621).

The spelling of 102011331420 in words is "one hundred two billion, eleven million, three hundred thirty-one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 47 54 60 90 94 108 135 141 180 188 235 270 282 423 470 540 564 705 846 940 1269 1410 1692 2115 2538 2820 4230 5076 6345 8460 12690 25380 4019359 8038718 12058077 16077436 20096795 24116154 36174231 40193590 48232308 60290385 72348462 80387180 108522693 120580770 144696924 180871155 188909873 217045386 241161540 361742310 377819746 434090772 542613465 566729619 723484620 755639492 944549365 1085226930 1133459238 1700188857 1889098730 2170453860 2266918476 2833648095 3400377714 3778197460 5100566571 5667296190 6800755428 8500944285 10201133142 11334592380 17001888570 20402266284 25502832855 34003777140 51005665710 102011331420