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101023120032 = 2531187886541
BaseRepresentation
bin101111000010101110…
…0100111101010100000
3100122202110211020002020
41132011130213222200
53123343404320112
6114224232021440
710204306231512
oct1360534475240
9318673736066
10101023120032
1139930a1034a
12176b4531880
1396ac783203
144c64ca9bb2
152963e8648c
hex1785727aa0

101023120032 has 48 divisors (see below), whose sum is σ = 265409397792. Its totient is φ = 33645966080.

The previous prime is 101023120031. The next prime is 101023120039. The reversal of 101023120032 is 230021320101.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 101023119993 and 101023120020.

It is not an unprimeable number, because it can be changed into a prime (101023120031) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 329319 + ... + 557222.

It is an arithmetic number, because the mean of its divisors is an integer number (5529362454).

Almost surely, 2101023120032 is an apocalyptic number.

101023120032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101023120032 is an abundant number, since it is smaller than the sum of its proper divisors (164386277760).

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

101023120032 is a wasteful number, since it uses less digits than its factorization.

101023120032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 887741 (or 887733 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 101023120032 its reverse (230021320101), we get a palindrome (331044440133).

The spelling of 101023120032 in words is "one hundred one billion, twenty-three million, one hundred twenty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1187 2374 3561 4748 7122 9496 14244 18992 28488 37984 56976 113952 886541 1773082 2659623 3546164 5319246 7092328 10638492 14184656 21276984 28369312 42553968 85107936 1052324167 2104648334 3156972501 4209296668 6313945002 8418593336 12627890004 16837186672 25255780008 33674373344 50511560016 101023120032