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32101203020 = 22517719191447
BaseRepresentation
bin11101111001011000…
…010111110001001100
310001212012002002001012
4131321120113301030
51011220401444040
622425212104352
72214332503115
oct357130276114
9101765062035
1032101203020
1112683323a57
12627a7650b8
1330477b46b3
1417a752920c
15c7d32c865
hex779617c4c

32101203020 has 96 divisors (see below), whose sum is σ = 72512133120. Its totient is φ = 11893754880.

The previous prime is 32101202999. The next prime is 32101203067. The reversal of 32101203020 is 2030210123.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 32101202986 and 32101203004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22183937 + ... + 22185383.

It is an arithmetic number, because the mean of its divisors is an integer number (755334720).

Almost surely, 232101203020 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 32101203020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36256066560).

32101203020 is an abundant number, since it is smaller than the sum of its proper divisors (40410930100).

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

32101203020 is a wasteful number, since it uses less digits than its factorization.

32101203020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2463 (or 2461 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 32101203020 its reverse (2030210123), we get a palindrome (34131413143).

The spelling of 32101203020 in words is "thirty-two billion, one hundred one million, two hundred three thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 71 85 142 170 284 340 355 710 919 1207 1420 1447 1838 2414 2894 3676 4595 4828 5788 6035 7235 9190 12070 14470 15623 18380 24140 24599 28940 31246 49198 62492 65249 78115 98396 102737 122995 130498 156230 205474 245990 260996 312460 326245 410948 491980 513685 652490 1027370 1109233 1304980 1329793 1746529 2054740 2218466 2659586 3493058 4436932 5319172 5546165 6648965 6986116 8732645 11092330 13297930 17465290 22184660 22606481 26595860 34930580 45212962 90425924 94415303 113032405 188830606 226064810 377661212 452129620 472076515 944153030 1605060151 1888306060 3210120302 6420240604 8025300755 16050601510 32101203020