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101031011420 = 225291079111787
BaseRepresentation
bin101111000010111101…
…0101110010001011100
3100122210000200011000212
41132011322232101130
53123402414331140
6114225113111552
710204433266463
oct1360572562134
9318700604025
10101031011420
1139935410259
12176b70b85b8
1396b12b7081
144c65d619da
1529649e4765
hex1785eae45c

101031011420 has 96 divisors (see below), whose sum is σ = 221899668480. Its totient is φ = 38590173440.

The previous prime is 101031011401. The next prime is 101031011423. The reversal of 101031011420 is 24110130101.

It is a junction number, because it is equal to n+sod(n) for n = 101031011395 and 101031011404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101031011423) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56535767 + ... + 56537553.

It is an arithmetic number, because the mean of its divisors is an integer number (2311454880).

Almost surely, 2101031011420 is an apocalyptic number.

101031011420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101031011420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110949834240).

101031011420 is an abundant number, since it is smaller than the sum of its proper divisors (120868657060).

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

101031011420 is a wasteful number, since it uses less digits than its factorization.

101031011420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2843 (or 2841 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 101031011420 its reverse (24110130101), we get a palindrome (125141141521).

The spelling of 101031011420 in words is "one hundred one billion, thirty-one million, eleven thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 29 58 107 116 145 214 290 428 535 580 911 1070 1787 1822 2140 3103 3574 3644 4555 6206 7148 8935 9110 12412 15515 17870 18220 26419 31030 35740 51823 52838 62060 97477 103646 105676 132095 191209 194954 207292 259115 264190 382418 389908 487385 518230 528380 764836 956045 974770 1036460 1627957 1912090 1949540 2826833 3255914 3824180 5545061 5653666 6511828 8139785 11090122 11307332 14134165 16279570 22180244 27725305 28268330 32559140 47210753 55450610 56536660 94421506 110901220 174191399 188843012 236053765 348382798 472107530 696765596 870956995 944215060 1741913990 3483827980 5051550571 10103101142 20206202284 25257752855 50515505710 101031011420