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101022030012 = 22319759158369
BaseRepresentation
bin101111000010101100…
…0011101100010111100
3100122202101202211212010
41132011120131202330
53123343114430022
6114224152411220
710204264041561
oct1360530354274
9318671684763
10101022030012
1139930336402
12176b40a6b10
1396ac491027
144c64aa4868
152963d1d50c
hex178561d8bc

101022030012 has 48 divisors (see below), whose sum is σ = 248161222400. Its totient is φ = 31896944640.

The previous prime is 101022029989. The next prime is 101022030013. The reversal of 101022030012 is 210030220101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 101022030012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101022030013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1701564 + ... + 1759932.

Almost surely, 2101022030012 is an apocalyptic number.

101022030012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101022030012 is an abundant number, since it is smaller than the sum of its proper divisors (147139192388).

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

101022030012 is a wasteful number, since it uses less digits than its factorization.

101022030012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65986 (or 65984 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 101022030012 its reverse (210030220101), we get a palindrome (311052250113).

The spelling of 101022030012 in words is "one hundred one billion, twenty-two million, thirty thousand, twelve".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 228 7591 15182 22773 30364 45546 58369 91092 116738 144229 175107 233476 288458 350214 432687 576916 700428 865374 1109011 1730748 2218022 3327033 4436044 6654066 13308132 443079079 886158158 1329237237 1772316316 2658474474 5316948948 8418502501 16837005002 25255507503 33674010004 50511015006 101022030012