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120300100222134 = 23721962712084791
BaseRepresentation
bin11011010110100110001100…
…101111010111110010110110
3120202221120120211021212121110
4123112212030233113302312
5111231444101124102014
61103505034134055450
734224252426035400
oct3326461457276266
9522846524255543
10120300100222134
1135370a933a3918
12115aab701aa586
135218334c49201
14219c7ad61db70
15dd9435a0ed59
hex6d698cbd7cb6

120300100222134 has 48 divisors (see below), whose sum is σ = 279883426070016. Its totient is φ = 34371265597200.

The previous prime is 120300100222117. The next prime is 120300100222151. The reversal of 120300100222134 is 431222001003021.

It is an interprime number because it is at equal distance from previous prime (120300100222117) and next prime (120300100222151).

It is a super-2 number, since 2×1203001002221342 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 120300100222134.

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, 56661279 + ... + 58746069.

It is an arithmetic number, because the mean of its divisors is an integer number (5830904709792).

Almost surely, 2120300100222134 is an apocalyptic number.

120300100222134 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

120300100222134 is an abundant number, since it is smaller than the sum of its proper divisors (159583325847882).

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

120300100222134 is a wasteful number, since it uses less digits than its factorization.

120300100222134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2281081 (or 2281074 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 120300100222134 its reverse (431222001003021), we get a palindrome (551522101225155).

The spelling of 120300100222134 in words is "one hundred twenty trillion, three hundred billion, one hundred million, two hundred twenty-two thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 294 196271 392542 588813 1177626 1373897 2084791 2747794 4121691 4169582 6254373 8243382 9617279 12508746 14593537 19234558 28851837 29187074 43780611 57703674 87561222 102154759 204309518 306464277 612928554 409184014361 818368028722 1227552043083 2455104086166 2864288100527 5728576201054 8592864301581 17185728603162 20050016703689 40100033407378 60150050111067 120300100222134