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23301041100 = 223525910312781
BaseRepresentation
bin10101101100110110…
…011010101111001100
32020010220000112100020
4111230312122233030
5340210031303400
614412050102140
71453264403301
oct255466325714
966126015306
1023301041100
119977915067
12462357a950
132274562aac
1411b08930a8
159159772a0
hex56cd9abcc

23301041100 has 144 divisors (see below), whose sum is σ = 69231402240. Its totient is φ = 6048518400.

The previous prime is 23301041087. The next prime is 23301041117. The reversal of 23301041100 is 114010332.

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

It is a self number, because there is not a number n which added to its sum of digits gives 23301041100.

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, 1816710 + ... + 1829490.

Almost surely, 223301041100 is an apocalyptic number.

23301041100 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 23301041100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34615701120).

23301041100 is an abundant number, since it is smaller than the sum of its proper divisors (45930361140).

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

23301041100 is a wasteful number, since it uses less digits than its factorization.

23301041100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12960 (or 12953 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 23301041100 its reverse (114010332), we get a palindrome (23415051432).

The spelling of 23301041100 in words is "twenty-three billion, three hundred one million, forty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 59 60 75 100 103 118 150 177 206 236 295 300 309 354 412 515 590 618 708 885 1030 1180 1236 1475 1545 1770 2060 2575 2950 3090 3540 4425 5150 5900 6077 6180 7725 8850 10300 12154 12781 15450 17700 18231 24308 25562 30385 30900 36462 38343 51124 60770 63905 72924 76686 91155 121540 127810 151925 153372 182310 191715 255620 303850 319525 364620 383430 455775 607700 639050 754079 766860 911550 958575 1278100 1316443 1508158 1823100 1917150 2262237 2632886 3016316 3770395 3834300 3949329 4524474 5265772 6582215 7540790 7898658 9048948 11311185 13164430 15081580 15797316 18851975 19746645 22622370 26328860 32911075 37703950 39493290 45244740 56555925 65822150 75407900 77670137 78986580 98733225 113111850 131644300 155340274 197466450 226223700 233010411 310680548 388350685 394932900 466020822 776701370 932041644 1165052055 1553402740 1941753425 2330104110 3883506850 4660208220 5825260275 7767013700 11650520550 23301041100