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331232130020 = 2251123110514201
BaseRepresentation
bin1001101000111101111…
…10010011001111100100
31011122222010200121202102
410310132332103033210
520411330411130040
6412055502031232
732634145436111
oct4643676231744
91148863617672
10331232130020
111185249a1900
1254240b78518
132530955780c
1412063081908
15893956d515
hex4d1ef933e4

331232130020 has 144 divisors (see below), whose sum is σ = 790173931008. Its totient is φ = 116424000000.

The previous prime is 331232130007. The next prime is 331232130049. The reversal of 331232130020 is 20031232133.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 331232129974 and 331232130001.

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, 78843920 + ... + 78848120.

Almost surely, 2331232130020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331232130020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395086965504).

331232130020 is an abundant number, since it is smaller than the sum of its proper divisors (458941800988).

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

331232130020 is a wasteful number, since it uses less digits than its factorization.

331232130020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5314 (or 5301 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 331232130020 its reverse (20031232133), we get a palindrome (351263362153).

The spelling of 331232130020 in words is "three hundred thirty-one billion, two hundred thirty-two million, one hundred thirty thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 31 44 55 62 110 121 124 155 220 242 310 341 484 605 620 682 1051 1210 1364 1705 2102 2420 3410 3751 4201 4204 5255 6820 7502 8402 10510 11561 15004 16804 18755 21005 21020 23122 32581 37510 42010 46211 46244 57805 65162 75020 84020 92422 115610 127171 130231 130324 162905 184844 231055 231220 254342 260462 325810 358391 462110 508321 508684 520924 635855 651155 651620 716782 924220 1016642 1271710 1302310 1432541 1433564 1791955 2033284 2541605 2543420 2604620 2865082 3583910 3942301 4415251 5083210 5730164 7162705 7167820 7884602 8830502 10166420 14325410 15757951 15769204 17661004 19711505 22076255 28650820 31515902 39423010 44152510 48567761 63031804 78789755 78846020 88305020 97135522 136872781 157579510 194271044 242838805 273745562 315159020 485677610 534245371 547491124 684363905 971355220 1068490742 1368727810 1505600591 2136981484 2671226855 2737455620 3011201182 5342453710 6022402364 7528002955 10684907420 15056005910 16561606501 30112011820 33123213002 66246426004 82808032505 165616065010 331232130020