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1332100033220 = 2251143401351157
BaseRepresentation
bin10011011000100111010…
…110010110101011000100
311201100101100020002121102
4103120213112112223010
5133311120102030340
62455542554435232
7165145452313145
oct23304726265304
94640340202542
101332100033220
11473a38817270
12196205732b18
139880258c538
144868c88bacc
15249b70c1215
hex13627596ac4

1332100033220 has 96 divisors (see below), whose sum is σ = 3130486482816. Its totient is φ = 471953664000.

The previous prime is 1332100033213. The next prime is 1332100033241. The reversal of 1332100033220 is 223300012331.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1332100033192 and 1332100033201.

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, 3617882 + ... + 3969038.

It is an arithmetic number, because the mean of its divisors is an integer number (32609234196).

Almost surely, 21332100033220 is an apocalyptic number.

1332100033220 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 1332100033220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1565243241408).

1332100033220 is an abundant number, since it is smaller than the sum of its proper divisors (1798386449596).

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

1332100033220 is a wasteful number, since it uses less digits than its factorization.

1332100033220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351621 (or 351619 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 1332100033220 its reverse (223300012331), we get a palindrome (1555400045551).

The spelling of 1332100033220 in words is "one trillion, three hundred thirty-two billion, one hundred million, thirty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 43 44 55 86 110 172 215 220 401 430 473 802 860 946 1604 1892 2005 2365 4010 4411 4730 8020 8822 9460 17243 17644 22055 34486 44110 68972 86215 88220 172430 189673 344860 351157 379346 702314 758692 948365 1404628 1755785 1896730 3511570 3793460 3862727 7023140 7725454 15099751 15450908 19313635 30199502 38627270 60399004 75498755 77254540 140813957 150997510 166097261 281627914 301995020 332194522 563255828 664389044 704069785 830486305 1408139570 1548953527 1660972610 2816279140 3097907054 3321945220 6055000151 6195814108 7744767635 12110000302 15489535270 24220000604 30275000755 30979070540 60550001510 66605001661 121100003020 133210003322 266420006644 333025008305 666050016610 1332100033220