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103010031200 = 25521721135897
BaseRepresentation
bin101111111101111100…
…0000101011001100000
3100211212221112202210202
41133323320011121200
53141431031444300
6115153330244332
710304453550446
oct1377370053140
9324787482722
10103010031200
113a76052809a
1217b69a266a8
1399382c6aab
144db2b18b96
152a2d610ad5
hex17fbe05660

103010031200 has 144 divisors (see below), whose sum is σ = 267535157904. Its totient is φ = 38595379200.

The previous prime is 103010031167. The next prime is 103010031239. The reversal of 103010031200 is 2130010301.

It is a super-2 number, since 2×1030100312002 (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 23 ways as a sum of consecutive naturals, for example, 2851652 + ... + 2887548.

It is an arithmetic number, because the mean of its divisors is an integer number (1857883041).

Almost surely, 2103010031200 is an apocalyptic number.

103010031200 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 103010031200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133767578952).

103010031200 is an abundant number, since it is smaller than the sum of its proper divisors (164525126704).

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

103010031200 is a wasteful number, since it uses less digits than its factorization.

103010031200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36145 (or 36132 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

Adding to 103010031200 its reverse (2130010301), we get a palindrome (105140041501).

The spelling of 103010031200 in words is "one hundred three billion, ten million, thirty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 17 20 25 32 34 40 50 68 80 85 100 136 160 170 200 211 272 340 400 422 425 544 680 800 844 850 1055 1360 1688 1700 2110 2720 3376 3400 3587 4220 5275 6752 6800 7174 8440 10550 13600 14348 16880 17935 21100 28696 33760 35870 35897 42200 57392 71740 71794 84400 89675 114784 143480 143588 168800 179350 179485 286960 287176 358700 358970 573920 574352 610249 717400 717940 897425 1148704 1220498 1434800 1435880 1794850 2440996 2869600 2871760 3051245 3589700 4881992 5743520 6102490 7179400 7574267 9763984 12204980 14358800 15148534 15256225 19527968 24409960 28717600 30297068 30512450 37871335 48819920 60594136 61024900 75742670 97639840 121188272 122049800 128762539 151485340 189356675 242376544 244099600 257525078 302970680 378713350 488199200 515050156 605941360 643812695 757426700 1030100312 1211882720 1287625390 1514853400 2060200624 2575250780 3029706800 3219063475 4120401248 5150501560 6059413600 6438126950 10301003120 12876253900 20602006240 25752507800 51505015600 103010031200