Search a number
-
+
100103770320 = 2435232788467
BaseRepresentation
bin101110100111010100…
…1100101000011010000
3100120101101220102100220
41131032221211003100
53120003031122240
6113553111113040
710142444002611
oct1351651450320
9316341812326
10100103770320
11394a9a722a4
1217498672780
1395941733b8
144bb8b53c08
15290d3d65d0
hex174ea650d0

100103770320 has 120 divisors (see below), whose sum is σ = 324400966176. Its totient is φ = 25533682944.

The previous prime is 100103770289. The next prime is 100103770331. The reversal of 100103770320 is 23077301001.

It is a tau number, because it is divible by the number of its divisors (120).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 267274 + ... + 521193.

Almost surely, 2100103770320 is an apocalyptic number.

100103770320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100103770320 is an abundant number, since it is smaller than the sum of its proper divisors (224297195856).

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

100103770320 is a wasteful number, since it uses less digits than its factorization.

100103770320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 788529 (or 788500 counting only the distinct ones).

The product of its (nonzero) digits is 882, while the sum is 24.

The spelling of 100103770320 in words is "one hundred billion, one hundred three million, seven hundred seventy thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 40 46 48 60 69 80 92 115 120 138 184 230 240 276 345 368 460 529 552 690 920 1058 1104 1380 1587 1840 2116 2645 2760 3174 4232 5290 5520 6348 7935 8464 10580 12696 15870 21160 25392 31740 42320 63480 126960 788467 1576934 2365401 3153868 3942335 4730802 6307736 7884670 9461604 11827005 12615472 15769340 18134741 18923208 23654010 31538680 36269482 37846416 47308020 54404223 63077360 72538964 90673705 94616040 108808446 145077928 181347410 189232080 217616892 272021115 290155856 362694820 417099043 435233784 544042230 725389640 834198086 870467568 1088084460 1251297129 1450779280 1668396172 2085495215 2176168920 2502594258 3336792344 4170990430 4352337840 5005188516 6256485645 6673584688 8341980860 10010377032 12512971290 16683961720 20020754064 25025942580 33367923440 50051885160 100103770320