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111157020 = 223251367709
BaseRepresentation
bin1101010000000…
…01111100011100
321202011100202200
412220001330130
5211424011040
615010251500
72516550642
oct650017434
9252140680
10111157020
1157821a07
1231286b90
131a04bbb0
1410a97192
159b5a630
hex6a01f1c

111157020 has 144 divisors (see below), whose sum is σ = 369052320. Its totient is φ = 26915328.

The previous prime is 111157019. The next prime is 111157061. The reversal of 111157020 is 20751111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 111156984 and 111157002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 156426 + ... + 157134.

Almost surely, 2111157020 is an apocalyptic number.

111157020 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 111157020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184526160).

111157020 is an abundant number, since it is smaller than the sum of its proper divisors (257895300).

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

111157020 is a wasteful number, since it uses less digits than its factorization.

111157020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 804 (or 799 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 18.

The square root of 111157020 is about 10543.1029588068. The cubic root of 111157020 is about 480.8160597273.

The spelling of 111157020 in words is "one hundred eleven million, one hundred fifty-seven thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 67 78 90 117 130 134 156 180 195 201 234 260 268 335 390 402 468 585 603 670 709 780 804 871 1005 1170 1206 1340 1418 1742 2010 2127 2340 2412 2613 2836 3015 3484 3545 4020 4254 4355 5226 6030 6381 7090 7839 8508 8710 9217 10452 10635 12060 12762 13065 14180 15678 17420 18434 21270 25524 26130 27651 31356 31905 36868 39195 42540 46085 47503 52260 55302 63810 78390 82953 92170 95006 110604 127620 138255 142509 156780 165906 184340 190012 237515 276510 285018 331812 414765 427527 475030 553020 570036 617539 712545 829530 855054 950060 1235078 1425090 1659060 1710108 1852617 2137635 2470156 2850180 3087695 3705234 4275270 5557851 6175390 7410468 8550540 9263085 11115702 12350780 18526170 22231404 27789255 37052340 55578510 111157020