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20133011220 = 22357217094007
BaseRepresentation
bin10010110000000001…
…010101111100010100
31220222002210221100020
4102300001111330110
5312213022324340
613125440145140
71311625525500
oct226001257424
956862727306
1020133011220
1185a1618353
123a9a6081b0
131b8b108bba
14d8dc2b300
157cc7919d0
hex4b0055f14

20133011220 has 144 divisors (see below), whose sum is σ = 65630839680. Its totient is φ = 4597990656.

The previous prime is 20133011219. The next prime is 20133011231. The reversal of 20133011220 is 2211033102.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20133011220.

It is a congruent number.

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, 5022457 + ... + 5026463.

It is an arithmetic number, because the mean of its divisors is an integer number (455769720).

Almost surely, 220133011220 is an apocalyptic number.

20133011220 is a gapful number since it is divisible by the number (20) 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 20133011220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32815419840).

20133011220 is an abundant number, since it is smaller than the sum of its proper divisors (45497828460).

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

20133011220 is a wasteful number, since it uses less digits than its factorization.

20133011220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5742 (or 5733 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 20133011220 its reverse (2211033102), we get a palindrome (22344044322).

The spelling of 20133011220 in words is "twenty billion, one hundred thirty-three million, eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 210 245 294 420 490 588 735 980 1470 1709 2940 3418 4007 5127 6836 8014 8545 10254 11963 12021 16028 17090 20035 20508 23926 24042 25635 28049 34180 35889 40070 47852 48084 51270 56098 59815 60105 71778 80140 83741 84147 102540 112196 119630 120210 140245 143556 167482 168294 179445 196343 239260 240420 251223 280490 334964 336588 358890 392686 418705 420735 502446 560980 589029 717780 785372 837410 841470 981715 1004892 1178058 1256115 1674820 1682940 1963430 2356116 2512230 2945145 3926860 5024460 5890290 6847963 11780580 13695926 20543889 27391852 34239815 41087778 47935741 68479630 82175556 95871482 102719445 136959260 143807223 191742964 205438890 239678705 287614446 335550187 410877780 479357410 575228892 671100374 719036115 958714820 1006650561 1342200748 1438072230 1677750935 2013301122 2876144460 3355501870 4026602244 5033252805 6711003740 10066505610 20133011220