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232140435102120 = 23357976303320923
BaseRepresentation
bin110100110010000101101000…
…001011000001100110101000
31010102221102001001121000200010
4310302011220023001212220
5220411342102341231440
62141415502121211520
766616410250131516
oct6462055013014650
91112842031530603
10232140435102120
1167a702297a9a56
1222052456030ba0
139c6b997a0614c
14414792ab8d4b6
151bc878ad61580
hexd321682c19a8

232140435102120 has 128 divisors (see below), whose sum is σ = 705248205004800. Its totient is φ = 61119528148224.

The previous prime is 232140435102091. The next prime is 232140435102133. The reversal of 232140435102120 is 21201534041232.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 723191979 + ... + 723512901.

It is an arithmetic number, because the mean of its divisors is an integer number (5509751601600).

Almost surely, 2232140435102120 is an apocalyptic number.

232140435102120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232140435102120 is an abundant number, since it is smaller than the sum of its proper divisors (473107769902680).

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

232140435102120 is a wasteful number, since it uses less digits than its factorization.

232140435102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397319 (or 397315 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 232140435102120 its reverse (21201534041232), we get a palindrome (253341969143352).

The spelling of 232140435102120 in words is "two hundred thirty-two trillion, one hundred forty billion, four hundred thirty-five million, one hundred two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 79 120 158 237 316 395 474 632 790 948 1185 1580 1896 2370 3160 4740 9480 76303 152606 228909 305212 320923 381515 457818 610424 641846 763030 915636 962769 1144545 1283692 1526060 1604615 1831272 1925538 2289090 2567384 3052120 3209230 3851076 4578180 4813845 6027937 6418460 7702152 9156360 9627690 12055874 12836920 18083811 19255380 24111748 25352917 30139685 36167622 38510760 48223496 50705834 60279370 72335244 76058751 90419055 101411668 120558740 126764585 144670488 152117502 180838110 202823336 241117480 253529170 304235004 361676220 380293755 507058340 608470008 723352440 760587510 1014116680 1521175020 3042350040 24487387669 48974775338 73462163007 97949550676 122436938345 146924326014 195899101352 244873876690 293848652028 367310815035 489747753380 587697304056 734621630070 979495506760 1469243260140 1934503625851 2938486520280 3869007251702 5803510877553 7738014503404 9672518129255 11607021755106 15476029006808 19345036258510 23214043510212 29017554387765 38690072517020 46428087020424 58035108775530 77380145034040 116070217551060 232140435102120