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100100130 = 235134347127
BaseRepresentation
bin1011111011101…
…10100000100010
320222100121120020
411331312200202
5201111201010
613533254310
72323560054
oct575664042
9228317506
10100100130
115155a789
1229634396
131797a260
14d4198d4
158bc4470
hex5f76822

100100130 has 128 divisors (see below), whose sum is σ = 272498688. Its totient is φ = 23369472.

The previous prime is 100100111. The next prime is 100100149. The reversal of 100100130 is 31001001.

It is an interprime number because it is at equal distance from previous prime (100100111) and next prime (100100149).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 788127 + ... + 788253.

It is an arithmetic number, because the mean of its divisors is an integer number (2128896).

Almost surely, 2100100130 is an apocalyptic number.

100100130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100100130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136249344).

100100130 is an abundant number, since it is smaller than the sum of its proper divisors (172398558).

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

100100130 is a wasteful number, since it uses less digits than its factorization.

100100130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240.

The product of its (nonzero) digits is 3, while the sum is 6.

The square root of 100100130 is about 10005.0052473749. The cubic root of 100100130 is about 464.3137524459.

Adding to 100100130 its reverse (31001001), we get a palindrome (131101131).

The spelling of 100100130 in words is "one hundred million, one hundred thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 43 47 65 78 86 94 127 129 130 141 195 215 235 254 258 282 381 390 430 470 559 611 635 645 705 762 1118 1222 1270 1290 1410 1651 1677 1833 1905 2021 2795 3055 3302 3354 3666 3810 4042 4953 5461 5590 5969 6063 6110 8255 8385 9165 9906 10105 10922 11938 12126 16383 16510 16770 17907 18330 20210 24765 26273 27305 29845 30315 32766 35814 49530 52546 54610 59690 60630 70993 77597 78819 81915 89535 131365 141986 155194 157638 163830 179070 212979 232791 256667 262730 354965 387985 394095 425958 465582 513334 709930 770001 775970 788190 1064895 1163955 1283335 1540002 2129790 2327910 2566670 3336671 3850005 6673342 7700010 10010013 16683355 20020026 33366710 50050065 100100130