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101411430 = 23547711013
BaseRepresentation
bin1100000101101…
…10101001100110
321001211020022220
412002312221212
5201430131210
614021333210
72340661101
oct602665146
9231736286
10101411430
11522759aa
1229b67206
1318019083
14d67b738
158d82c70
hex60b6a66

101411430 has 64 divisors (see below), whose sum is σ = 252315648. Its totient is φ = 26069120.

The previous prime is 101411399. The next prime is 101411461. The reversal of 101411430 is 34114101.

It is an interprime number because it is at equal distance from previous prime (101411399) and next prime (101411461).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 99604 + ... + 100616.

It is an arithmetic number, because the mean of its divisors is an integer number (3942432).

Almost surely, 2101411430 is an apocalyptic number.

101411430 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 101411430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126157824).

101411430 is an abundant number, since it is smaller than the sum of its proper divisors (150904218).

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

101411430 is a wasteful number, since it uses less digits than its factorization.

101411430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1141.

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 101411430 is about 10070.3242251677. The cubic root of 101411430 is about 466.3324483377.

Adding to 101411430 its reverse (34114101), we get a palindrome (135525531).

The spelling of 101411430 in words is "one hundred one million, four hundred eleven thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 47 71 94 141 142 213 235 282 355 426 470 705 710 1013 1065 1410 2026 2130 3039 3337 5065 6078 6674 10011 10130 15195 16685 20022 30390 33370 47611 50055 71923 95222 100110 142833 143846 215769 238055 285666 359615 431538 476110 714165 719230 1078845 1428330 2157690 3380381 6760762 10141143 16901905 20282286 33803810 50705715 101411430