Search a number
-
+
103019830706448 = 2434134215922853
BaseRepresentation
bin10111011011001000101100…
…011010100000000100010000
3111111202121012010120001220000
4113123020230122200010100
5102000334103130101243
61003034353515050000
730461636304466125
oct2733105432400420
9444677163501800
10103019830706448
112a909512792147
12b679b24a40900
134563961257b76
141b6228772274c
15bd9baee8d5d3
hex5db22c6a0110

103019830706448 has 100 divisors (see below), whose sum is σ = 298191545501388. Its totient is φ = 34337379098880.

The previous prime is 103019830706423. The next prime is 103019830706453. The reversal of 103019830706448 is 844607038910301.

103019830706448 is a `hidden beast` number, since 1 + 0 + 3 + 0 + 198 + 3 + 0 + 7 + 0 + 6 + 448 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 100869642518544 + 2150188187904 = 10043388^2 + 1466352^2 .

It is a super-2 number, since 2×1030198307064482 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 103019830706394 and 103019830706403.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 14432190 + ... + 20355042.

Almost surely, 2103019830706448 is an apocalyptic number.

103019830706448 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

103019830706448 is an abundant number, since it is smaller than the sum of its proper divisors (195171714794940).

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

103019830706448 is a wasteful number, since it uses less digits than its factorization.

103019830706448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5936294 (or 5936279 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 103019830706448 in words is "one hundred three trillion, nineteen billion, eight hundred thirty million, seven hundred six thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 13421 26842 40263 53684 80526 107368 120789 161052 214736 241578 322104 362367 483156 644208 724734 966312 1087101 1449468 1932624 2174202 2898936 4348404 5797872 5922853 8696808 11845706 17393616 17768559 23691412 35537118 47382824 53305677 71074236 94765648 106611354 142148472 159917031 213222708 284296944 319834062 426445416 479751093 639668124 852890832 959502186 1279336248 1919004372 2558672496 3838008744 7676017488 79490610113 158981220226 238471830339 317962440452 476943660678 635924880904 715415491017 953887321356 1271849761808 1430830982034 1907774642712 2146246473051 2861661964068 3815549285424 4292492946102 5723323928136 6438739419153 8584985892204 11446647856272 12877478838306 17169971784408 25754957676612 34339943568816 51509915353224 103019830706448