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101031123032 = 23719397239179
BaseRepresentation
bin101111000010111101…
…1001001100001011000
3100122210000212211010122
41132011323021201120
53123402431414112
6114225115332412
710204434243050
oct1360573114130
9318700784118
10101031123032
11399354870a4
12176b7151108
1396b1325b08
144c65d90560
152964a17872
hex1785ec9858

101031123032 has 64 divisors (see below), whose sum is σ = 228464736000. Its totient is φ = 40916658816.

The previous prime is 101031123001. The next prime is 101031123073. The reversal of 101031123032 is 230321130101.

101031123032 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1010311230322 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 101031123032.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 302819 + ... + 541997.

It is an arithmetic number, because the mean of its divisors is an integer number (3569761500).

Almost surely, 2101031123032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101031123032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114232368000).

101031123032 is an abundant number, since it is smaller than the sum of its proper divisors (127433612968).

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

101031123032 is a wasteful number, since it uses less digits than its factorization.

101031123032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239608 (or 239604 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 101031123032 its reverse (230321130101), we get a palindrome (331352253133).

The spelling of 101031123032 in words is "one hundred one billion, thirty-one million, one hundred twenty-three thousand, thirty-two".

Divisors: 1 2 4 7 8 14 19 28 38 56 76 133 152 266 397 532 794 1064 1588 2779 3176 5558 7543 11116 15086 22232 30172 52801 60344 105602 211204 239179 422408 478358 956716 1674253 1913432 3348506 4544401 6697012 9088802 13394024 18177604 31810807 36355208 63621614 94954063 127243228 189908126 254486456 379816252 664678441 759632504 1329356882 1804127197 2658713764 3608254394 5317427528 7216508788 12628890379 14433017576 25257780758 50515561516 101031123032