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2010101151344 = 24111331233121631
BaseRepresentation
bin11101010000000011010…
…111010111011001110000
321010011102101221111122112
4131100003113113121300
5230413141343320334
64135232215424452
7265140115605626
oct35200327273160
97104371844575
102010101151344
1170552a773350
122856a2985128
131177231a93c0
146d40a223516
1537449bbb4ce
hex1d4035d7670

2010101151344 has 160 divisors (see below), whose sum is σ = 4743344406528. Its totient is φ = 812683008000.

The previous prime is 2010101151319. The next prime is 2010101151347. The reversal of 2010101151344 is 4431511010102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2010101151347) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16465409 + ... + 16587039.

Almost surely, 22010101151344 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 2010101151344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2371672203264).

2010101151344 is an abundant number, since it is smaller than the sum of its proper divisors (2733243255184).

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

2010101151344 is a wasteful number, since it uses less digits than its factorization.

2010101151344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121927 (or 121921 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 23.

Adding to 2010101151344 its reverse (4431511010102), we get a palindrome (6441612161446).

The spelling of 2010101151344 in words is "two trillion, ten billion, one hundred one million, one hundred fifty-one thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 13 16 22 26 31 44 52 62 88 104 124 143 176 208 233 248 286 341 403 466 496 572 682 806 932 1144 1364 1612 1864 2288 2563 2728 3029 3224 3728 4433 5126 5456 6058 6448 7223 8866 10252 12116 14446 17732 20504 24232 28892 33319 35464 41008 48464 57784 66638 70928 79453 93899 115568 121631 133276 158906 187798 243262 266552 317812 375596 486524 533104 635624 751192 973048 1032889 1271248 1337941 1502384 1581203 1946096 2065778 2675882 3162406 3770561 4131556 5351764 6324812 7541122 8263112 10703528 12649624 15082244 16526224 17393233 21407056 25299248 28340023 30164488 34786466 41476171 49017293 56680046 60328976 69572932 82952342 98034586 113360092 139145864 165904684 196069172 226720184 278291728 311740253 331809368 368420299 392138344 453440368 539190223 623480506 663618736 736840598 784276688 878540713 1078380446 1246961012 1473681196 1757081426 2156760892 2493922024 2947362392 3514162852 4052623289 4313521784 4987844048 5894724784 7028325704 8105246578 8627043568 9663947843 11421029269 14056651408 16210493156 19327895686 22842058538 32420986312 38655791372 45684117076 64841972624 77311582744 91368234152 125631321959 154623165488 182736468304 251262643918 502525287836 1005050575672 2010101151344