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2141002152 = 233367239619
BaseRepresentation
bin111111110011101…
…0001100110101000
312112012200011211000
41333213101212220
513341044032102
6552241035000
7104025134532
oct17747214650
95465604730
102141002152
119a95a3673
124b9025a60
132817458a3
141644c0852
15c7e6601c
hex7f9d19a8

2141002152 has 128 divisors (see below), whose sum is σ = 6071040000. Its totient is φ = 698943168.

The previous prime is 2141002093. The next prime is 2141002189. The reversal of 2141002152 is 2512001412.

It is a super-2 number, since 2×21410021522 = 9167780429737262208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 3458499 + ... + 3459117.

It is an arithmetic number, because the mean of its divisors is an integer number (47430000).

Almost surely, 22141002152 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 2141002152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3035520000).

2141002152 is an abundant number, since it is smaller than the sum of its proper divisors (3930037848).

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

2141002152 is a wasteful number, since it uses less digits than its factorization.

2141002152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 940 (or 930 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 2141002152 is about 46270.9644593670. The cubic root of 2141002152 is about 1288.8598687723.

Adding to 2141002152 its reverse (2512001412), we get a palindrome (4653003564).

The spelling of 2141002152 in words is "two billion, one hundred forty-one million, two thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 67 72 108 134 201 216 239 268 402 478 536 603 619 717 804 956 1206 1238 1434 1608 1809 1857 1912 2151 2412 2476 2868 3618 3714 4302 4824 4952 5571 5736 6453 7236 7428 8604 11142 12906 14472 14856 16013 16713 17208 22284 25812 32026 33426 41473 44568 48039 51624 64052 66852 82946 96078 124419 128104 133704 144117 147941 165892 192156 248838 288234 295882 331784 373257 384312 432351 443823 497676 576468 591764 746514 864702 887646 995352 1119771 1152936 1183528 1331469 1493028 1729404 1775292 2239542 2662938 2986056 3458808 3550584 3994407 4479084 5325876 7988814 8958168 9912047 10651752 15977628 19824094 29736141 31955256 39648188 59472282 79296376 89208423 118944564 178416846 237889128 267625269 356833692 535250538 713667384 1070501076 2141002152