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101999792640 = 2935110312041
BaseRepresentation
bin101111011111110101…
…0010101001000000000
3100202021112121100000210
41132333222111020000
53132343421331030
6114505201314120
710240435634514
oct1367752251000
9322245540023
10101999792640
113a292250999
1217927635940
139806c135b5
144d188a4144
1529beaaabb0
hex17bfa95200

101999792640 has 160 divisors (see below), whose sum is σ = 326403323136. Its totient is φ = 27173027840.

The previous prime is 101999792551. The next prime is 101999792663. The reversal of 101999792640 is 46297999101.

It is a tau number, because it is divible by the number of its divisors (160).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8465020 + ... + 8477060.

Almost surely, 2101999792640 is an apocalyptic number.

101999792640 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 101999792640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163201661568).

101999792640 is an abundant number, since it is smaller than the sum of its proper divisors (224403530496).

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

101999792640 is a wasteful number, since it uses less digits than its factorization.

101999792640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13170 (or 13154 counting only the distinct ones).

The product of its (nonzero) digits is 2204496, while the sum is 57.

The spelling of 101999792640 in words is "one hundred one billion, nine hundred ninety-nine million, seven hundred ninety-two thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1103 1280 1536 1920 2206 2560 3309 3840 4412 5515 6618 7680 8824 11030 12041 13236 16545 17648 22060 24082 26472 33090 35296 36123 44120 48164 52944 60205 66180 70592 72246 88240 96328 105888 120410 132360 141184 144492 176480 180615 192656 211776 240820 264720 282368 288984 352960 361230 385312 423552 481640 529440 564736 577968 705920 722460 770624 847104 963280 1058880 1155936 1411840 1444920 1541248 1694208 1926560 2117760 2311872 2823680 2889840 3082496 3853120 4235520 4623744 5779680 6164992 7706240 8471040 9247488 11559360 13281223 15412480 18494976 23118720 26562446 30824960 39843669 46237440 53124892 66406115 79687338 92474880 106249784 132812230 159374676 199218345 212499568 265624460 318749352 398436690 424999136 531248920 637498704 796873380 849998272 1062497840 1274997408 1593746760 1699996544 2124995680 2549994816 3187493520 3399993088 4249991360 5099989632 6374987040 6799986176 8499982720 10199979264 12749974080 16999965440 20399958528 25499948160 33999930880 50999896320 101999792640