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155415315100 = 225271193113417
BaseRepresentation
bin1001000010111101111…
…0011000001010011100
3112212011011100000122111
42100233132120022130
510021242310040400
6155221413323404
714141223244633
oct2205736301234
9485134300574
10155415315100
115aa02991581
1226154336564
131186a482516
147744a8251a
1540992223ba
hex242f79829c

155415315100 has 72 divisors (see below), whose sum is σ = 343776309408. Its totient is φ = 60972441600.

The previous prime is 155415315073. The next prime is 155415315109. The reversal of 155415315100 is 1513514551.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (155415315109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1313592 + ... + 1427008.

It is an arithmetic number, because the mean of its divisors is an integer number (4774670964).

Almost surely, 2155415315100 is an apocalyptic number.

155415315100 is a gapful number since it is divisible by the number (10) 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 155415315100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171888154704).

155415315100 is an abundant number, since it is smaller than the sum of its proper divisors (188360994308).

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

155415315100 is a wasteful number, since it uses less digits than its factorization.

155415315100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113695 (or 113688 counting only the distinct ones).

The product of its (nonzero) digits is 7500, while the sum is 31.

Adding to 155415315100 its reverse (1513514551), we get a palindrome (156928829651).

The spelling of 155415315100 in words is "one hundred fifty-five billion, four hundred fifteen million, three hundred fifteen thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 71 100 142 193 284 355 386 710 772 965 1420 1775 1930 3550 3860 4825 7100 9650 13703 19300 27406 54812 68515 113417 137030 226834 274060 342575 453668 567085 685150 1134170 1370300 2268340 2835425 5670850 8052607 11341700 16105214 21889481 32210428 40263035 43778962 80526070 87557924 109447405 161052140 201315175 218894810 402630350 437789620 547237025 805260700 1094474050 1554153151 2188948100 3108306302 6216612604 7770765755 15541531510 31083063020 38853828775 77707657550 155415315100