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10132023120 = 2435174752837
BaseRepresentation
bin10010110111110101…
…00110011101010000
3222011010012002210120
421123322212131100
5131222244214440
64353220230240
7506036530002
oct113372463520
928133162716
1010132023120
11432a298a2a
121b6923b380
13c56163a6b
146c18cc372
153e478add0
hex25bea6750

10132023120 has 160 divisors (see below), whose sum is σ = 33965111808. Its totient is φ = 2488786944.

The previous prime is 10132023107. The next prime is 10132023133. The reversal of 10132023120 is 2132023101.

It is an interprime number because it is at equal distance from previous prime (10132023107) and next prime (10132023133).

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

It is a self number, because there is not a number n which added to its sum of digits gives 10132023120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 165342 + ... + 218178.

Almost surely, 210132023120 is an apocalyptic number.

10132023120 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 10132023120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16982555904).

10132023120 is an abundant number, since it is smaller than the sum of its proper divisors (23833088688).

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

10132023120 is a wasteful number, since it uses less digits than its factorization.

10132023120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52917 (or 52911 counting only the distinct ones).

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

Adding to 10132023120 its reverse (2132023101), we get a palindrome (12264046221).

The spelling of 10132023120 in words is "ten billion, one hundred thirty-two million, twenty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 47 48 51 60 68 80 85 94 102 120 136 141 170 188 204 235 240 255 272 282 340 376 408 470 510 564 680 705 752 799 816 940 1020 1128 1360 1410 1598 1880 2040 2256 2397 2820 3196 3760 3995 4080 4794 5640 6392 7990 9588 11280 11985 12784 15980 19176 23970 31960 38352 47940 52837 63920 95880 105674 158511 191760 211348 264185 317022 422696 528370 634044 792555 845392 898229 1056740 1268088 1585110 1796458 2113480 2483339 2536176 2694687 3170220 3592916 4226960 4491145 4966678 5389374 6340440 7185832 7450017 8982290 9933356 10778748 12416695 12680880 13473435 14371664 14900034 17964580 19866712 21557496 24833390 26946870 29800068 35929160 37250085 39733424 42216763 43114992 49666780 53893740 59600136 71858320 74500170 84433526 99333560 107787480 119200272 126650289 149000340 168867052 198667120 211083815 215574960 253300578 298000680 337734104 422167630 506601156 596001360 633251445 675468208 844335260 1013202312 1266502890 1688670520 2026404624 2533005780 3377341040 5066011560 10132023120