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1111032020120 = 2351119212962423
BaseRepresentation
bin10000001010101110101…
…010110011110010011000
310221012202201202110022112
4100022232222303302120
5121200343144120440
62210222344011452
7143161260231341
oct20125652636230
93835681673275
101111032020120
11399205679aa0
1215b3aa460b88
1380a01534229
143baba7110c8
151dd79267965
hex102aeab3c98

1111032020120 has 128 divisors (see below), whose sum is σ = 2872003392000. Its totient is φ = 382561966080.

The previous prime is 1111032020089. The next prime is 1111032020167. The reversal of 1111032020120 is 210202301111.

It is a junction number, because it is equal to n+sod(n) for n = 1111032020095 and 1111032020104.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 17767229 + ... + 17829651.

It is an arithmetic number, because the mean of its divisors is an integer number (22437526500).

Almost surely, 21111032020120 is an apocalyptic number.

1111032020120 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 1111032020120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1436001696000).

1111032020120 is an abundant number, since it is smaller than the sum of its proper divisors (1760971371880).

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

1111032020120 is a wasteful number, since it uses less digits than its factorization.

1111032020120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64593 (or 64589 counting only the distinct ones).

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

Adding to 1111032020120 its reverse (210202301111), we get a palindrome (1321234321231).

The spelling of 1111032020120 in words is "one trillion, one hundred eleven billion, thirty-two million, twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 19 20 22 38 40 44 55 76 88 95 110 152 190 209 220 380 418 440 760 836 1045 1672 2090 2129 4180 4258 8360 8516 10645 17032 21290 23419 40451 42580 46838 62423 80902 85160 93676 117095 124846 161804 187352 202255 234190 249692 312115 323608 404510 444961 468380 499384 624230 686653 809020 889922 936760 1186037 1248460 1373306 1618040 1779844 2224805 2372074 2496920 2746612 3433265 3559688 4449610 4744148 5493224 5930185 6866530 8899220 9488296 11860370 13046407 13733060 17798440 23720740 26092814 27466120 47441480 52185628 65232035 104371256 130464070 132898567 260928140 265797134 521856280 531594268 664492835 1063188536 1328985670 1461884237 2525072773 2657971340 2923768474 5050145546 5315942680 5847536948 7309421185 10100291092 11695073896 12625363865 14618842370 20200582184 25250727730 27775800503 29237684740 50501455460 55551601006 58475369480 101002910920 111103202012 138879002515 222206404024 277758005030 555516010060 1111032020120