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1122542252304 = 2431137540710627
BaseRepresentation
bin10000010101011100101…
…110110111000100010000
310222022110220021211112020
4100111130232313010100
5121342431304033204
62215404440131440
7144046433465514
oct20253456670420
93868426254466
101122542252304
113a3081922880
12161681166b80
1381b170870c5
143c48d27c144
151e2ee9e1bd9
hex1055cbb7110

1122542252304 has 160 divisors (see below), whose sum is σ = 3249935609856. Its totient is φ = 330878338560.

The previous prime is 1122542252291. The next prime is 1122542252333. The reversal of 1122542252304 is 4032522452211.

It is a super-2 number, since 2×11225422523042 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 105625839 + ... + 105636465.

Almost surely, 21122542252304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1122542252304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1624967804928).

1122542252304 is an abundant number, since it is smaller than the sum of its proper divisors (2127393357552).

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

1122542252304 is a wasteful number, since it uses less digits than its factorization.

1122542252304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16093 (or 16087 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 33.

The spelling of 1122542252304 in words is "one trillion, one hundred twenty-two billion, five hundred forty-two million, two hundred fifty-two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 37 44 48 66 74 88 111 132 148 176 222 264 296 407 444 528 592 814 888 1221 1628 1776 2442 3256 4884 5407 6512 9768 10627 10814 16221 19536 21254 21628 31881 32442 42508 43256 59477 63762 64884 85016 86512 116897 118954 127524 129768 170032 178431 200059 233794 237908 255048 259536 350691 356862 393199 400118 467588 475816 510096 600177 701382 713724 786398 800236 935176 951632 1179597 1200354 1402764 1427448 1572796 1600472 1870352 2200649 2359194 2400708 2805528 2854896 3145592 3200944 4325189 4401298 4718388 4801416 5611056 6291184 6601947 8650378 8802596 9436776 9602832 12975567 13203894 17300756 17605192 18873552 25951134 26407788 34601512 35210384 51902268 52815576 57460189 69203024 103804536 105631152 114920378 172380567 207609072 229840756 344761134 459681512 632062079 689522268 919363024 1264124158 1379044536 1896186237 2126026993 2528248316 2758089072 3792372474 4252053986 5056496632 6378080979 7584744948 8504107972 10112993264 12756161958 15169489896 17008215944 23386296923 25512323916 30338979792 34016431888 46772593846 51024647832 70158890769 93545187692 102049295664 140317781538 187090375384 280635563076 374180750768 561271126152 1122542252304