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10132133020230 = 2351383973226907
BaseRepresentation
bin1001001101110001001000…
…1100001000001001000110
31022212121210202211011010110
42103130102030020021012
52312001102023121410
633314345422133450
72064010462443444
oct223342214101106
938777722734113
1010132133020230
113257016a44891
121177812a21286
135865c0c0c7b0
1427057d9dbb94
15128860192720
hex93712308246

10132133020230 has 128 divisors (see below), whose sum is σ = 26776417909248. Its totient is φ = 2438611587072.

The previous prime is 10132133020169. The next prime is 10132133020307. The reversal of 10132133020230 is 3202033123101.

It is a junction number, because it is equal to n+sod(n) for n = 10132133020197 and 10132133020206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1526437 + ... + 4753343.

It is an arithmetic number, because the mean of its divisors is an integer number (209190764916).

Almost surely, 210132133020230 is an apocalyptic number.

10132133020230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10132133020230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13388208954624).

10132133020230 is an abundant number, since it is smaller than the sum of its proper divisors (16644284889018).

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

10132133020230 is a wasteful number, since it uses less digits than its factorization.

10132133020230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3227110.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 10132133020230 its reverse (3202033123101), we get a palindrome (13334166143331).

The spelling of 10132133020230 in words is "ten trillion, one hundred thirty-two billion, one hundred thirty-three million, twenty thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 83 97 130 166 194 195 249 291 390 415 485 498 582 830 970 1079 1245 1261 1455 2158 2490 2522 2910 3237 3783 5395 6305 6474 7566 8051 10790 12610 16102 16185 18915 24153 32370 37830 40255 48306 80510 104663 120765 209326 241530 313989 523315 627978 1046630 1569945 3139890 3226907 6453814 9680721 16134535 19361442 32269070 41949791 48403605 83899582 96807210 125849373 209748955 251698746 267833281 313009979 419497910 535666562 626019958 629246865 803499843 939029937 1258493730 1339166405 1565049895 1606999686 1878059874 2678332810 3130099790 3481832653 4017499215 4069129727 4695149685 6963665306 8034998430 8138259454 9390299370 10445497959 12207389181 17409163265 20345648635 20890995918 24414778362 25979828257 34818326530 40691297270 51959656514 52227489795 61036945905 77939484771 104454979590 122073891810 129899141285 155878969542 259798282570 337737767341 389697423855 675475534682 779394847710 1013213302023 1688688836705 2026426604046 3377377673410 5066066510115 10132133020230