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103010111200 = 25521929233689
BaseRepresentation
bin101111111101111100…
…0011000111011100000
3100211212221200211112201
41133323320120323200
53141431042024300
6115153332102544
710304454332623
oct1377370307340
9324787624481
10103010111200
113a760582207
1217b69a64a54
139938324329
144db2b39dba
152a2d62966a
hex17fbe18ee0

103010111200 has 144 divisors (see below), whose sum is σ = 273837942000. Its totient is φ = 37689200640.

The previous prime is 103010111153. The next prime is 103010111207. The reversal of 103010111200 is 2111010301.

It is a super-2 number, since 2×1030101112002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103010111207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 323956 + ... + 557644.

It is an arithmetic number, because the mean of its divisors is an integer number (1901652375).

Almost surely, 2103010111200 is an apocalyptic number.

103010111200 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 103010111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136918971000).

103010111200 is an abundant number, since it is smaller than the sum of its proper divisors (170827830800).

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

103010111200 is a wasteful number, since it uses less digits than its factorization.

103010111200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233757 (or 233744 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 103010111200 its reverse (2111010301), we get a palindrome (105121121501).

The spelling of 103010111200 in words is "one hundred three billion, ten million, one hundred eleven thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 19 20 25 29 32 38 40 50 58 76 80 95 100 116 145 152 160 190 200 232 290 304 380 400 464 475 551 580 608 725 760 800 928 950 1102 1160 1450 1520 1900 2204 2320 2755 2900 3040 3800 4408 4640 5510 5800 7600 8816 11020 11600 13775 15200 17632 22040 23200 27550 44080 55100 88160 110200 220400 233689 440800 467378 934756 1168445 1869512 2336890 3739024 4440091 4673780 5842225 6776981 7478048 8880182 9347560 11684450 13553962 17760364 18695120 22200455 23368900 27107924 33884905 35520728 37390240 44400910 46737800 54215848 67769810 71041456 88801820 93475600 108431696 111002275 128762639 135539620 142082912 169424525 177603640 186951200 216863392 222004550 257525278 271079240 338849050 355207280 444009100 515050556 542158480 643813195 677698100 710414560 888018200 1030101112 1084316960 1287626390 1355396200 1776036400 2060202224 2575252780 2710792400 3219065975 3552072800 4120404448 5150505560 5421584800 6438131950 10301011120 12876263900 20602022240 25752527800 51505055600 103010111200