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100001430 = 2325472503
BaseRepresentation
bin1011111010111…
…10011010010110
320222011121011200
411331132122112
5201100021210
613531213330
72322666234
oct575363226
9228147150
10100001430
11514a2611
12295a7246
1317944359
14d3d1954
158ba50c0
hex5f5e696

100001430 has 72 divisors (see below), whose sum is σ = 266181552. Its totient is φ = 26047776.

The previous prime is 100001399. The next prime is 100001431. The reversal of 100001430 is 34100001.

It is a Harshad number since it is a multiple of its sum of digits (9).

100001430 is a modest number, since divided by 1430 gives 100 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100001431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 198559 + ... + 199061.

It is an arithmetic number, because the mean of its divisors is an integer number (3696966).

Almost surely, 2100001430 is an apocalyptic number.

100001430 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 100001430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133090776).

100001430 is an abundant number, since it is smaller than the sum of its proper divisors (166180122).

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

100001430 is a wasteful number, since it uses less digits than its factorization.

100001430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 100001430 is about 10000.0714997444. The cubic root of 100001430 is about 464.1610958414.

Adding to 100001430 its reverse (34100001), we get a palindrome (134101431).

The spelling of 100001430 in words is "one hundred million, one thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 47 90 94 141 235 282 423 470 503 705 846 1006 1410 1509 2115 2209 2515 3018 4230 4418 4527 5030 6627 7545 9054 11045 13254 15090 19881 22090 22635 23641 33135 39762 45270 47282 66270 70923 99405 118205 141846 198810 212769 236410 354615 425538 709230 1063845 1111127 2127690 2222254 3333381 5555635 6666762 10000143 11111270 16666905 20000286 33333810 50000715 100001430