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10132300231020 = 223251122692255321
BaseRepresentation
bin1001001101110001110000…
…1001111111000101101100
31022212122020102110100012200
42103130130021333011230
52312001422324343040
633314414154101500
72064014562634452
oct223343411770554
938778212410180
1010132300231020
1132570a2371820
12117785aa1a890
135866197563a6
14270597cc69d2
1512886ebc1630
hex9371c27f16c

10132300231020 has 144 divisors (see below), whose sum is σ = 33543494318880. Its totient is φ = 2455231564800.

The previous prime is 10132300230989. The next prime is 10132300231043. The reversal of 10132300231020 is 2013200323101.

10132300231020 is a `hidden beast` number, since 1 + 0 + 1 + 32 + 300 + 2 + 310 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10132300230984 and 10132300231002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3364960 + ... + 5620280.

It is an arithmetic number, because the mean of its divisors is an integer number (232940932770).

Almost surely, 210132300231020 is an apocalyptic number.

10132300231020 is a gapful number since it is divisible by the number (10) 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 10132300231020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16771747159440).

10132300231020 is an abundant number, since it is smaller than the sum of its proper divisors (23411194087860).

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

10132300231020 is a wasteful number, since it uses less digits than its factorization.

10132300231020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2257616 (or 2257611 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10132300231020 its reverse (2013200323101), we get a palindrome (12145500554121).

The spelling of 10132300231020 in words is "ten trillion, one hundred thirty-two billion, three hundred million, two hundred thirty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 2269 4538 6807 9076 11345 13614 20421 22690 24959 27228 34035 40842 45380 49918 68070 74877 81684 99836 102105 124795 136140 149754 204210 224631 249590 299508 374385 408420 449262 499180 748770 898524 1123155 1497540 2246310 2255321 4492620 4510642 6765963 9021284 11276605 13531926 20297889 22553210 24808531 27063852 33829815 40595778 45106420 49617062 67659630 74425593 81191556 99234124 101489445 124042655 135319260 148851186 202978890 223276779 248085310 297702372 372127965 405957780 446553558 496170620 744255930 893107116 1116383895 1488511860 2232767790 4465535580 5117323349 10234646698 15351970047 20469293396 25586616745 30703940094 46055910141 51173233490 56290556839 61407880188 76759850235 92111820282 102346466980 112581113678 153519700470 168871670517 184223640564 225162227356 230279550705 281452784195 307039400940 337743341034 460559101410 506615011551 562905568390 675486682068 844358352585 921118202820 1013230023102 1125811136780 1688716705170 2026460046204 2533075057755 3377433410340 5066150115510 10132300231020