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1132010213100 = 22352131915276791
BaseRepresentation
bin10000011110010001000…
…100010000111011101100
311000012220201221002001220
4100132101010100323230
5122021324103304400
62224012135303340
7144533161022664
oct20362104207354
94005821832056
101132010213100
113a70a0287968
12163483b1ab50
1382995782280
143cb0a8a91a4
151e6a5d087a0
hex10791110eec

1132010213100 has 144 divisors (see below), whose sum is σ = 3712871527680. Its totient is φ = 263982931200.

The previous prime is 1132010213093. The next prime is 1132010213107. The reversal of 1132010213100 is 13120102311.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1132010213093) and next prime (1132010213107).

It is a super-2 number, since 2×11320102131002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1132010213100.

It is not an unprimeable number, because it can be changed into a prime (1132010213107) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 7564296 + ... + 7712495.

Almost surely, 21132010213100 is an apocalyptic number.

1132010213100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1132010213100 is an abundant number, since it is smaller than the sum of its proper divisors (2580861314580).

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

1132010213100 is a wasteful number, since it uses less digits than its factorization.

1132010213100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15276840 (or 15276833 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 1132010213100 its reverse (13120102311), we get a palindrome (1145130315411).

The spelling of 1132010213100 in words is "one trillion, one hundred thirty-two billion, ten million, two hundred thirteen thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 19 20 25 26 30 38 39 50 52 57 60 65 75 76 78 95 100 114 130 150 156 190 195 228 247 260 285 300 325 380 390 475 494 570 650 741 780 950 975 988 1140 1235 1300 1425 1482 1900 1950 2470 2850 2964 3705 3900 4940 5700 6175 7410 12350 14820 18525 24700 37050 74100 15276791 30553582 45830373 61107164 76383955 91660746 152767910 183321492 198598283 229151865 290259029 305535820 381919775 397196566 458303730 580518058 595794849 763839550 794393132 870777087 916607460 992991415 1145759325 1161036116 1191589698 1451295145 1527679100 1741554174 1985982830 2291518650 2383179396 2902590290 2978974245 3483108348 3773367377 3971965660 4353885435 4583037300 4964957075 5805180580 5957948490 7256475725 7546734754 8707770870 9929914150 11320102131 11915896980 14512951450 14894871225 15093469508 17415541740 18866836885 19859828300 21769427175 22640204262 29025902900 29789742450 37733673770 43538854350 45280408524 56600510655 59579484900 75467347540 87077708700 94334184425 113201021310 188668368850 226402042620 283002553275 377336737700 566005106550 1132010213100