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150642254100 = 223521361962401
BaseRepresentation
bin1000110001001011111…
…0100110000100010100
3112101211111222101212110
42030102332212010110
54432003404112400
6153112030151020
713612025014122
oct2142276460424
9471744871773
10150642254100
1158983697168
1225241952470
1311289650880
147410bb6912
153dba196e50
hex2312fa6114

150642254100 has 144 divisors (see below), whose sum is σ = 470151644480. Its totient is φ = 37020672000.

The previous prime is 150642254057. The next prime is 150642254117. The reversal of 150642254100 is 1452246051.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2382900 + ... + 2445300.

Almost surely, 2150642254100 is an apocalyptic number.

150642254100 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 150642254100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235075822240).

150642254100 is an abundant number, since it is smaller than the sum of its proper divisors (319509390380).

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

150642254100 is a wasteful number, since it uses less digits than its factorization.

150642254100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63050 (or 63043 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The spelling of 150642254100 in words is "one hundred fifty billion, six hundred forty-two million, two hundred fifty-four thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 195 260 300 325 390 619 650 780 975 1238 1300 1857 1950 2476 3095 3714 3900 6190 7428 8047 9285 12380 15475 16094 18570 24141 30950 32188 37140 40235 46425 48282 61900 62401 80470 92850 96564 120705 124802 160940 185700 187203 201175 241410 249604 312005 374406 402350 482820 603525 624010 748812 804700 811213 936015 1207050 1248020 1560025 1622426 1872030 2414100 2433639 3120050 3244852 3744060 4056065 4680075 4867278 6240100 8112130 9360150 9734556 12168195 16224260 18720300 20280325 24336390 38626219 40560650 48672780 60840975 77252438 81121300 115878657 121681950 154504876 193131095 231757314 243363900 386262190 463514628 502140847 579393285 772524380 965655475 1004281694 1158786570 1506422541 1931310950 2008563388 2317573140 2510704235 2896966425 3012845082 3862621900 5021408470 5793932850 6025690164 7532112705 10042816940 11587865700 12553521175 15064225410 25107042350 30128450820 37660563525 50214084700 75321127050 150642254100