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106303004144540 = 22574528116768781
BaseRepresentation
bin11000001010111010011000…
…110011001111001110011100
3111221101110122010121110111122
4120022322120303033032130
5102413132023030111130
61014030532000110112
731251065353323020
oct3012723063171634
9457343563543448
10106303004144540
113096493a587105
12bb0a299005338
13474143a80a458
141c37142b08380
15c452b9a282e5
hex60ae98ccf39c

106303004144540 has 48 divisors (see below), whose sum is σ = 255132859472064. Its totient is φ = 36445937203200.

The previous prime is 106303004144417. The next prime is 106303004144599. The reversal of 106303004144540 is 45441400303601.

It is a super-2 number, since 2×1063030041445402 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 106303004144540.

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, 2045051 + ... + 14723730.

It is an arithmetic number, because the mean of its divisors is an integer number (5315267905668).

Almost surely, 2106303004144540 is an apocalyptic number.

106303004144540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106303004144540 is an abundant number, since it is smaller than the sum of its proper divisors (148829855327524).

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

106303004144540 is a wasteful number, since it uses less digits than its factorization.

106303004144540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16814078 (or 16814076 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 35.

The spelling of 106303004144540 in words is "one hundred six trillion, three hundred three billion, four million, one hundred forty-four thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 45281 90562 181124 226405 316967 452810 633934 905620 1267868 1584835 3169670 6339340 16768781 33537562 67075124 83843905 117381467 167687810 234762934 335375620 469525868 586907335 1173814670 2347629340 759307172461 1518614344922 3037228689844 3796535862305 5315150207227 7593071724610 10630300414454 15186143449220 21260600828908 26575751036135 53151502072270 106303004144540