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101369070 = 23451131367
BaseRepresentation
bin1100000101011…
…00010011101110
321001202002020000
412002230103232
5201422302240
614020405130
72340423435
oct602542356
9231662200
10101369070
11522470a0
1229b467a6
13180029ca
14d66a11c
158d75430
hex60ac4ee

101369070 has 160 divisors (see below), whose sum is σ = 307777536. Its totient is φ = 23716800.

The previous prime is 101369063. The next prime is 101369071. The reversal of 101369070 is 70963101.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101369071) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 276027 + ... + 276393.

Almost surely, 2101369070 is an apocalyptic number.

101369070 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 101369070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153888768).

101369070 is an abundant number, since it is smaller than the sum of its proper divisors (206408466).

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

101369070 is a wasteful number, since it uses less digits than its factorization.

101369070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 27.

The square root of 101369070 is about 10068.2207961486. The cubic root of 101369070 is about 466.2675095907.

The spelling of 101369070 in words is "one hundred one million, three hundred sixty-nine thousand, seventy".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 31 33 45 54 55 62 66 81 90 93 99 110 135 155 162 165 186 198 270 279 297 310 330 341 367 405 465 495 558 594 682 734 810 837 891 930 990 1023 1101 1395 1485 1674 1705 1782 1835 2046 2202 2511 2790 2970 3069 3303 3410 3670 4037 4185 4455 5022 5115 5505 6138 6606 8074 8370 8910 9207 9909 10230 11010 11377 12111 12555 15345 16515 18414 19818 20185 22754 24222 25110 27621 29727 30690 33030 34131 36333 40370 46035 49545 55242 56885 59454 60555 68262 72666 92070 99090 102393 108999 113770 121110 125147 138105 148635 170655 181665 204786 217998 250294 276210 297270 307179 326997 341310 363330 375441 511965 544995 614358 625735 653994 750882 921537 1023930 1089990 1126323 1251470 1535895 1634985 1843074 1877205 2252646 3071790 3269970 3378969 3754410 4607685 5631615 6757938 9215370 10136907 11263230 16894845 20273814 33789690 50684535 101369070