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232132023020 = 225374367108883
BaseRepresentation
bin1101100000110000100…
…1011001001011101100
3211012011200100120122002
43120030021121023230
512300401244214040
6254350122511432
722525306432262
oct3301411311354
9735150316562
10232132023020
118a4a0525727
1238ba4665578
1318b75304b51
14b341750432
15608933da15
hex360c2592ec

232132023020 has 96 divisors (see below), whose sum is σ = 519946361088. Its totient is φ = 86924420352.

The previous prime is 232132023017. The next prime is 232132023059. The reversal of 232132023020 is 20320231232.

It is a super-2 number, since 2×2321320230202 (a number of 24 digits) contains 22 as substring.

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 = 232132022983 and 232132023001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2077499 + ... + 2186381.

It is an arithmetic number, because the mean of its divisors is an integer number (5416107928).

Almost surely, 2232132023020 is an apocalyptic number.

232132023020 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 232132023020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259973180544).

232132023020 is an abundant number, since it is smaller than the sum of its proper divisors (287814338068).

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

232132023020 is a wasteful number, since it uses less digits than its factorization.

232132023020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109039 (or 109037 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 232132023020 its reverse (20320231232), we get a palindrome (252452254252).

The spelling of 232132023020 in words is "two hundred thirty-two billion, one hundred thirty-two million, twenty-three thousand, twenty".

Divisors: 1 2 4 5 10 20 37 43 67 74 86 134 148 172 185 215 268 335 370 430 670 740 860 1340 1591 2479 2881 3182 4958 5762 6364 7955 9916 11524 12395 14405 15910 24790 28810 31820 49580 57620 106597 108883 213194 217766 426388 435532 532985 544415 1065970 1088830 2131940 2177660 4028671 4681969 7295161 8057342 9363938 14590322 16114684 18727876 20143355 23409845 29180644 36475805 40286710 46819690 72951610 80573420 93639380 145903220 173232853 269920957 313691923 346465706 539841914 627383846 692931412 866164265 1079683828 1254767692 1349604785 1568459615 1732328530 2699209570 3136919230 3464657060 5398419140 6273838460 11606601151 23213202302 46426404604 58033005755 116066011510 232132023020