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32021010120030 = 23517412715650823
BaseRepresentation
bin1110100011111011110001…
…11011101111110101011110
311012101011211020210021212220
413101331320323233311132
513144113012042320110
6152034125440010210
76513304324101441
oct721757073576536
9135334736707786
1032021010120030
11a226041476aa8
123711a77600966
1314b375071c7b9
147c9b7a345658
153a7e17552370
hex1d1f78eefd5e

32021010120030 has 128 divisors (see below), whose sum is σ = 83663297335296. Its totient is φ = 7811696332800.

The previous prime is 32021010119921. The next prime is 32021010120049. The reversal of 32021010120030 is 3002101012023.

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

It is a junction number, because it is equal to n+sod(n) for n = 32021010119991 and 32021010120009.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2841199 + ... + 8492021.

It is an arithmetic number, because the mean of its divisors is an integer number (653619510432).

Almost surely, 232021010120030 is an apocalyptic number.

32021010120030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 32021010120030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41831648667648).

32021010120030 is an abundant number, since it is smaller than the sum of its proper divisors (51642287215266).

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

32021010120030 is a wasteful number, since it uses less digits than its factorization.

32021010120030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5651162.

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

Adding to 32021010120030 its reverse (3002101012023), we get a palindrome (35023111132053).

The spelling of 32021010120030 in words is "thirty-two trillion, twenty-one billion, ten million, one hundred twenty thousand, thirty".

Divisors: 1 2 3 5 6 10 15 17 30 34 41 51 82 85 102 123 170 205 246 255 271 410 510 542 615 697 813 1230 1355 1394 1626 2091 2710 3485 4065 4182 4607 6970 8130 9214 10455 11111 13821 20910 22222 23035 27642 33333 46070 55555 66666 69105 111110 138210 166665 188887 333330 377774 566661 944435 1133322 1888870 2833305 5650823 5666610 11301646 16952469 28254115 33904938 56508230 84762345 96063991 169524690 192127982 231683743 288191973 463367486 480319955 576383946 695051229 960639910 1158418715 1390102458 1440959865 1531373033 2316837430 2881919730 3062746066 3475256145 3938623631 4594119099 6950512290 7656865165 7877247262 9188238198 11815870893 15313730330 19693118155 22970595495 23631741786 26033341561 39386236310 45941190990 52066683122 59079354465 62786294353 78100024683 118158708930 125572588706 130166707805 156200049366 188358883059 260333415610 313931471765 376717766118 390500123415 627862943530 781000246830 941794415295 1067367004001 1883588830590 2134734008002 3202101012003 5336835020005 6404202024006 10673670040010 16010505060015 32021010120030