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2081121432 = 233133291361
BaseRepresentation
bin111110000001011…
…0110010010011000
312101000222220220120
41330002312102120
513230231341212
6542301353240
7102400145265
oct17402662230
95330886816
102081121432
11978814375
124a0b68820
1327220b000
1415a57426c
15c2a8888c
hex7c0b6498

2081121432 has 128 divisors (see below), whose sum is σ = 5834808000. Its totient is φ = 617809920.

The previous prime is 2081121407. The next prime is 2081121457. The reversal of 2081121432 is 2341211802.

It is an interprime number because it is at equal distance from previous prime (2081121407) and next prime (2081121457).

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

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, 1528432 + ... + 1529792.

Almost surely, 22081121432 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 2081121432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2917404000).

2081121432 is an abundant number, since it is smaller than the sum of its proper divisors (3753686568).

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

2081121432 is a wasteful number, since it uses less digits than its factorization.

2081121432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1438 (or 1408 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 2081121432 is about 45619.3098588745. The cubic root of 2081121432 is about 1276.7302270353.

The spelling of 2081121432 in words is "two billion, eighty-one million, one hundred twenty-one thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 29 39 52 58 78 87 104 116 156 169 174 232 312 338 348 377 507 676 696 754 1014 1131 1352 1361 1508 2028 2197 2262 2722 3016 4056 4083 4394 4524 4901 5444 6591 8166 8788 9048 9802 10888 13182 14703 16332 17576 17693 19604 26364 29406 32664 35386 39208 39469 52728 53079 58812 63713 70772 78938 106158 117624 118407 127426 141544 157876 191139 212316 230009 236814 254852 315752 382278 424632 460018 473628 509704 513097 690027 764556 920036 947256 1026194 1380054 1529112 1539291 1840072 2052388 2760108 2990117 3078582 4104776 5520216 5980234 6157164 6670261 8970351 11960468 12314328 13340522 17940702 20010783 23920936 26681044 35881404 40021566 53362088 71762808 80043132 86713393 160086264 173426786 260140179 346853572 520280358 693707144 1040560716 2081121432