Search a number
-
+
101055551100 = 223527307915629
BaseRepresentation
bin101111000011101100…
…0010101011001111100
3100122211201211220010220
41132013120111121330
53123430210113400
6114231351101340
710205152003650
oct1360730253174
9318751756126
10101055551100
1139948251289
1217703371850
1396b63c98aa
144c6930ca60
152966c407a0
hex178761567c

101055551100 has 144 divisors (see below), whose sum is σ = 334286937600. Its totient is φ = 23089432320.

The previous prime is 101055551039. The next prime is 101055551131. The reversal of 101055551100 is 1155550101.

It is a super-2 number, since 2×1010555511002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6458086 + ... + 6473714.

Almost surely, 2101055551100 is an apocalyptic number.

101055551100 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 101055551100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167143468800).

101055551100 is an abundant number, since it is smaller than the sum of its proper divisors (233231386500).

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

101055551100 is a wasteful number, since it uses less digits than its factorization.

101055551100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18732 (or 18725 counting only the distinct ones).

The product of its (nonzero) digits is 625, while the sum is 24.

Subtracting from 101055551100 its reverse (1155550101), we obtain a palindrome (99900000999).

The spelling of 101055551100 in words is "one hundred one billion, fifty-five million, five hundred fifty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 1050 2100 3079 6158 9237 12316 15395 15629 18474 21553 30790 31258 36948 43106 46185 46887 61580 62516 64659 76975 78145 86212 92370 93774 107765 109403 129318 153950 156290 184740 187548 215530 218806 230925 234435 258636 307900 312580 323295 328209 390725 431060 437612 461850 468870 538825 547015 646590 656418 781450 923700 937740 1077650 1094030 1172175 1293180 1312836 1562900 1616475 1641045 2155300 2188060 2344350 2735075 3232950 3282090 4688700 5470150 6465900 6564180 8205225 10940300 16410450 32820900 48121691 96243382 144365073 192486764 240608455 288730146 336851837 481216910 577460292 673703674 721825365 962433820 1010555511 1203042275 1347407348 1443650730 1684259185 2021111022 2406084550 2887301460 3368518370 3609126825 4042222044 4812169100 5052777555 6737036740 7218253650 8421295925 10105555110 14436507300 16842591850 20211110220 25263887775 33685183700 50527775550 101055551100