Search a number
-
+
101520460447740 = 223351011861394581
BaseRepresentation
bin10111000101010100010010…
…111110110111111111111100
3111022110021001102220002211000
4113011110102332313333330
5101301302400333311430
6555525504454530300
730245416435540035
oct2705242276677774
9438407042802730
10101520460447740
112a390649320804
12b477418966990
134485452451459
141b0d88b981a8c
15bb0ba8038e60
hex5c5512fb7ffc

101520460447740 has 96 divisors (see below), whose sum is σ = 318968575571520. Its totient is φ = 26804081952000.

The previous prime is 101520460447591. The next prime is 101520460447793. The reversal of 101520460447740 is 47744064025101.

101520460447740 is a `hidden beast` number, since 1 + 0 + 1 + 520 + 46 + 0 + 4 + 47 + 7 + 40 = 666.

It is a super-2 number, since 2×1015204604477402 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 930642751 + ... + 930751830.

It is an arithmetic number, because the mean of its divisors is an integer number (3322589328870).

Almost surely, 2101520460447740 is an apocalyptic number.

101520460447740 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101520460447740 is an abundant number, since it is smaller than the sum of its proper divisors (217448115123780).

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

101520460447740 is a wasteful number, since it uses less digits than its factorization.

101520460447740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1861394700 (or 1861394692 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 101520460447740 in words is "one hundred one trillion, five hundred twenty billion, four hundred sixty million, four hundred forty-seven thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 101 108 135 180 202 270 303 404 505 540 606 909 1010 1212 1515 1818 2020 2727 3030 3636 4545 5454 6060 9090 10908 13635 18180 27270 54540 1861394581 3722789162 5584183743 7445578324 9306972905 11168367486 16752551229 18613945810 22336734972 27920918715 33505102458 37227891620 50257653687 55841837430 67010204916 83762756145 100515307374 111683674860 167525512290 188000852681 201030614748 251288268435 335051024580 376001705362 502576536870 564002558043 752003410724 940004263405 1005153073740 1128005116086 1692007674129 1880008526810 2256010232172 2820012790215 3384015348258 3760017053620 5076023022387 5640025580430 6768030696516 8460038370645 10152046044774 11280051160860 16920076741290 20304092089548 25380115111935 33840153482580 50760230223870 101520460447740