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100114034020 = 225711135000701
BaseRepresentation
bin101110100111101000…
…0101110110101100100
3100120102010012212111221
41131033100232311210
53120013143042040
6113554115110124
710142630151130
oct1351720566544
9316363185457
10100114034020
11395048425a0
121749bba2344
139596327cb0
144bba2663c0
15290e26274a
hex174f42ed64

100114034020 has 96 divisors (see below), whose sum is σ = 282279626496. Its totient is φ = 28804032000.

The previous prime is 100114033997. The next prime is 100114034051. The reversal of 100114034020 is 20430411001.

It is a junction number, because it is equal to n+sod(n) for n = 100114033985 and 100114034003.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2480331 + ... + 2520370.

It is an arithmetic number, because the mean of its divisors is an integer number (2940412776).

Almost surely, 2100114034020 is an apocalyptic number.

100114034020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100114034020 is an abundant number, since it is smaller than the sum of its proper divisors (182165592476).

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

100114034020 is a wasteful number, since it uses less digits than its factorization.

100114034020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5000741 (or 5000739 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 100114034020 its reverse (20430411001), we get a palindrome (120544445021).

The spelling of 100114034020 in words is "one hundred billion, one hundred fourteen million, thirty-four thousand, twenty".

Divisors: 1 2 4 5 7 10 11 13 14 20 22 26 28 35 44 52 55 65 70 77 91 110 130 140 143 154 182 220 260 286 308 364 385 455 572 715 770 910 1001 1430 1540 1820 2002 2860 4004 5005 10010 20020 5000701 10001402 20002804 25003505 35004907 50007010 55007711 65009113 70009814 100014020 110015422 130018226 140019628 175024535 220030844 260036452 275038555 325045565 350049070 385053977 455063791 550077110 650091130 700098140 715100243 770107954 910127582 1100154220 1300182260 1430200486 1540215908 1820255164 1925269885 2275318955 2860400972 3575501215 3850539770 4550637910 5005701701 7151002430 7701079540 9101275820 10011403402 14302004860 20022806804 25028508505 50057017010 100114034020