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20132310102000 = 243534091820187
BaseRepresentation
bin1001001001111011010110…
…01100010010111111110000
32122021122000022021002110220
410210331223030102333300
510114321432341231000
6110452353334453040
74145340261233325
oct444755314227760
978248008232426
1020132310102000
116462079227a78
122311939b04180
13b30612959815
144d85a2464b4c
1524da4a9141a0
hex124f6b312ff0

20132310102000 has 160 divisors (see below), whose sum is σ = 64922512621824. Its totient is φ = 5367297184000.

The previous prime is 20132310101989. The next prime is 20132310102007. The reversal of 20132310102000 is 20101323102.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20132310102007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24135907 + ... + 24956093.

Almost surely, 220132310102000 is an apocalyptic number.

20132310102000 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 20132310102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32461256310912).

20132310102000 is an abundant number, since it is smaller than the sum of its proper divisors (44790202519824).

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

20132310102000 is a wasteful number, since it uses less digits than its factorization.

20132310102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 824304 (or 824288 counting only the distinct ones).

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

Adding to 20132310102000 its reverse (20101323102), we get a palindrome (20152411425102).

The spelling of 20132310102000 in words is "twenty trillion, one hundred thirty-two billion, three hundred ten million, one hundred two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1500 2000 3000 4091 6000 8182 12273 16364 20455 24546 32728 40910 49092 61365 65456 81820 98184 102275 122730 163640 196368 204550 245460 306825 327280 409100 490920 511375 613650 818200 820187 981840 1022750 1227300 1534125 1636400 1640374 2045500 2454600 2460561 3068250 3280748 4091000 4100935 4909200 4921122 6136500 6561496 8182000 8201870 9842244 12273000 12302805 13122992 16403740 19684488 20504675 24546000 24605610 32807480 39368976 41009350 49211220 61514025 65614960 82018700 98422440 102523375 123028050 164037400 196844880 205046750 246056100 307570125 328074800 410093500 492112200 615140250 820187000 984224400 1230280500 1640374000 2460561000 3355385017 4921122000 6710770034 10066155051 13421540068 16776925085 20132310102 26843080136 33553850170 40264620204 50330775255 53686160272 67107700340 80529240408 83884625425 100661550510 134215400680 161058480816 167769250850 201323101020 251653876275 268430801360 335538501700 402646202040 419423127125 503307752550 671077003400 805292404080 838846254250 1006615505100 1258269381375 1342154006800 1677692508500 2013231010200 2516538762750 3355385017000 4026462020400 5033077525500 6710770034000 10066155051000 20132310102000