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2152132210320 = 2435411319165817
BaseRepresentation
bin11111010100010101000…
…100110110111010010000
321121202000210102212112020
4133110111010312322100
5240230031321212240
64324401554131440
7311325561645651
oct37242504667220
97552023385466
102152132210320
1175a794588124
122a9120880b80
13127c3979b731
14762414b3528
153aeadd880d0
hex1f515136e90

2152132210320 has 160 divisors (see below), whose sum is σ = 6839554740480. Its totient is φ = 559476449280.

The previous prime is 2152132210229. The next prime is 2152132210343. The reversal of 2152132210320 is 230122312512.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 12896052 + ... + 13061868.

It is an arithmetic number, because the mean of its divisors is an integer number (42747217128).

Almost surely, 22152132210320 is an apocalyptic number.

2152132210320 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 2152132210320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3419777370240).

2152132210320 is an abundant number, since it is smaller than the sum of its proper divisors (4687422530160).

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

2152132210320 is a wasteful number, since it uses less digits than its factorization.

2152132210320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167193 (or 167187 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 2152132210320 its reverse (230122312512), we get a palindrome (2382254522832).

The spelling of 2152132210320 in words is "two trillion, one hundred fifty-two billion, one hundred thirty-two million, two hundred ten thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 41 48 60 80 82 120 123 164 205 240 246 328 410 492 615 656 820 984 1230 1319 1640 1968 2460 2638 3280 3957 4920 5276 6595 7914 9840 10552 13190 15828 19785 21104 26380 31656 39570 52760 54079 63312 79140 105520 108158 158280 162237 165817 216316 270395 316560 324474 331634 432632 497451 540790 648948 663268 811185 829085 865264 994902 1081580 1297896 1326536 1622370 1658170 1989804 2163160 2487255 2595792 2653072 3244740 3316340 3979608 4326320 4974510 6489480 6632680 6798497 7959216 9949020 12978960 13265360 13596994 19898040 20395491 27193988 33992485 39796080 40790982 54387976 67984970 81581964 101977455 108775952 135969940 163163928 203954910 218712623 271939880 326327856 407909820 437425246 543879760 656137869 815819640 874850492 1093563115 1312275738 1631639280 1749700984 2187126230 2624551476 3280689345 3499401968 4374252460 5249102952 6561378690 8748504920 8967217543 10498205904 13122757380 17497009840 17934435086 26245514760 26901652629 35868870172 44836087715 52491029520 53803305258 71737740344 89672175430 107606610516 134508263145 143475480688 179344350860 215213221032 269016526290 358688701720 430426442064 538033052580 717377403440 1076066105160 2152132210320