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103013311212 = 223271013403537
BaseRepresentation
bin101111111110000010…
…0100110001011101100
3100211220011201102010200
41133330010212023230
53141432401424322
6115153524433500
710304523461250
oct1377404461354
9324804642120
10103013311212
113a762368449
1217b6ab48890
139938ba4a26
144db3330260
152a2da5c8ac
hex17fc1262ec

103013311212 has 72 divisors (see below), whose sum is σ = 297888523296. Its totient is φ = 29403247104.

The previous prime is 103013311183. The next prime is 103013311241. The reversal of 103013311212 is 212113310301.

103013311212 is a `hidden beast` number, since 10 + 301 + 331 + 1 + 21 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (103013311183) and next prime (103013311241).

It is a super-2 number, since 2×1030133112122 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 53508 + ... + 457044.

Almost surely, 2103013311212 is an apocalyptic number.

103013311212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

103013311212 is an abundant number, since it is smaller than the sum of its proper divisors (194875212084).

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

103013311212 is a wasteful number, since it uses less digits than its factorization.

103013311212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404567 (or 404562 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 103013311212 its reverse (212113310301), we get a palindrome (315126621513).

The spelling of 103013311212 in words is "one hundred three billion, thirteen million, three hundred eleven thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 1013 2026 3039 4052 6078 7091 9117 12156 14182 18234 21273 28364 36468 42546 63819 85092 127638 255276 403537 807074 1210611 1614148 2421222 2824759 3631833 4842444 5649518 7263666 8474277 11299036 14527332 16948554 25422831 33897108 50845662 101691324 408782981 817565962 1226348943 1635131924 2452697886 2861480867 3679046829 4905395772 5722961734 7358093658 8584442601 11445923468 14716187316 17168885202 25753327803 34337770404 51506655606 103013311212