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101253115320 = 23357503239641
BaseRepresentation
bin101111001001100100…
…1111110110110111000
3100200100111121012022020
41132103021332312320
53124331244142240
6114303125354440
710213101164640
oct1362311766670
9320314535266
10101253115320
1139a398201a5
1217759568a20
1397183102b6
144c87659520
1529792680d0
hex179327edb8

101253115320 has 128 divisors (see below), whose sum is σ = 347845155840. Its totient is φ = 23097461760.

The previous prime is 101253115307. The next prime is 101253115333. The reversal of 101253115320 is 23511352101.

It is an interprime number because it is at equal distance from previous prime (101253115307) and next prime (101253115333).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 302700 + ... + 542340.

It is an arithmetic number, because the mean of its divisors is an integer number (2717540280).

Almost surely, 2101253115320 is an apocalyptic number.

101253115320 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 101253115320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173922577920).

101253115320 is an abundant number, since it is smaller than the sum of its proper divisors (246592040520).

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

101253115320 is a wasteful number, since it uses less digits than its factorization.

101253115320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240165 (or 240161 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

Adding to 101253115320 its reverse (23511352101), we get a palindrome (124764467421).

The spelling of 101253115320 in words is "one hundred one billion, two hundred fifty-three million, one hundred fifteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 503 840 1006 1509 2012 2515 3018 3521 4024 5030 6036 7042 7545 10060 10563 12072 14084 15090 17605 20120 21126 28168 30180 35210 42252 52815 60360 70420 84504 105630 140840 211260 239641 422520 479282 718923 958564 1198205 1437846 1677487 1917128 2396410 2875692 3354974 3594615 4792820 5032461 5751384 6709948 7189230 8387435 9585640 10064922 13419896 14378460 16774870 20129844 25162305 28756920 33549740 40259688 50324610 67099480 100649220 120539423 201298440 241078846 361618269 482157692 602697115 723236538 843775961 964315384 1205394230 1446473076 1687551922 1808091345 2410788460 2531327883 2892946152 3375103844 3616182690 4218879805 4821576920 5062655766 6750207688 7232365380 8437759610 10125311532 12656639415 14464730760 16875519220 20250623064 25313278830 33751038440 50626557660 101253115320