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20152155100 = 22527112990247
BaseRepresentation
bin10010110001001010…
…010111101111011100
31221000102211112210211
4102301022113233130
5312232422430400
613131402342204
71312250330530
oct226112275734
957012745724
1020152155100
118601403440
123aa4aba964
131b9207c73c
14d925b1bc0
157ce2c3dba
hex4b1297bdc

20152155100 has 144 divisors (see below), whose sum is σ = 56401390080. Its totient is φ = 6064531200.

The previous prime is 20152155097. The next prime is 20152155137. The reversal of 20152155100 is 155125102.

It is a happy number.

It is a super-2 number, since 2×201521551002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 178177 + ... + 268423.

It is an arithmetic number, because the mean of its divisors is an integer number (391676320).

Almost surely, 220152155100 is an apocalyptic number.

20152155100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20152155100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28200695040).

20152155100 is an abundant number, since it is smaller than the sum of its proper divisors (36249234980).

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

20152155100 is a wasteful number, since it uses less digits than its factorization.

20152155100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90308 (or 90301 counting only the distinct ones).

The product of its (nonzero) digits is 500, while the sum is 22.

The spelling of 20152155100 in words is "twenty billion, one hundred fifty-two million, one hundred fifty-five thousand, one hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 29 35 44 50 55 58 70 77 100 110 116 140 145 154 175 203 220 275 290 308 319 350 385 406 550 580 638 700 725 770 812 1015 1100 1276 1450 1540 1595 1925 2030 2233 2900 3190 3850 4060 4466 5075 6380 7700 7975 8932 10150 11165 15950 20300 22330 31900 44660 55825 90247 111650 180494 223300 360988 451235 631729 902470 992717 1263458 1804940 1985434 2256175 2526916 2617163 3158645 3970868 4512350 4963585 5234326 6317290 6949019 9024700 9927170 10468652 12634580 13085815 13898038 15793225 18320141 19854340 24817925 26171630 27796076 28788793 31586450 34745095 36640282 49635850 52343260 57577586 63172900 65429075 69490190 73280564 91600705 99271700 115155172 130858150 138980380 143943965 173725475 183201410 201521551 261716300 287887930 347450950 366402820 403043102 458003525 575775860 694901900 719719825 806086204 916007050 1007607755 1439439650 1832014100 2015215510 2878879300 4030431020 5038038775 10076077550 20152155100