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100032103320 = 23353726178609
BaseRepresentation
bin101110100101001100…
…0001100001110011000
3100120012102001100201120
41131022120030032120
53114331204301240
6113542031045240
710140613564122
oct1351230141630
9316172040646
10100032103320
1139472572876
1217478670820
13958236cba6
144bad41a212
152906e7bad0
hex174a60c398

100032103320 has 128 divisors (see below), whose sum is σ = 308360606400. Its totient is φ = 25941344256.

The previous prime is 100032103267. The next prime is 100032103337. The reversal of 100032103320 is 23301230001.

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 100032103320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11615176 + ... + 11623784.

Almost surely, 2100032103320 is an apocalyptic number.

100032103320 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 100032103320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154180303200).

100032103320 is an abundant number, since it is smaller than the sum of its proper divisors (208328503080).

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

100032103320 is a wasteful number, since it uses less digits than its factorization.

100032103320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11277 (or 11273 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 100032103320 its reverse (23301230001), we get a palindrome (123333333321).

The spelling of 100032103320 in words is "one hundred billion, thirty-two million, one hundred three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 60 74 111 120 148 185 222 296 370 444 555 740 888 1110 1480 2220 2617 4440 5234 7851 8609 10468 13085 15702 17218 20936 25827 26170 31404 34436 39255 43045 51654 52340 62808 68872 78510 86090 96829 103308 104680 129135 157020 172180 193658 206616 258270 290487 314040 318533 344360 387316 484145 516540 580974 637066 774632 955599 968290 1033080 1161948 1274132 1452435 1592665 1911198 1936580 2323896 2548264 2904870 3185330 3822396 3873160 4777995 5809740 6370660 7644792 9555990 11619480 12741320 19111980 22529753 38223960 45059506 67589259 90119012 112648765 135178518 180238024 225297530 270357036 337946295 450595060 540714072 675892590 833600861 901190120 1351785180 1667201722 2500802583 2703570360 3334403444 4168004305 5001605166 6668806888 8336008610 10003210332 12504012915 16672017220 20006420664 25008025830 33344034440 50016051660 100032103320