Search a number
-
+
1351225156100 = 2252297912294799
BaseRepresentation
bin10011101010011011010…
…010111010001000000100
311210011202012112000001212
4103222123102322020010
5134114302114443400
62512424432310552
7166423422214661
oct23523322721004
94704665460055
101351225156100
11481062413146
12199a626a2458
139a55c9288b1
14495848b6a68
1525236124335
hex13a9b4ba204

1351225156100 has 144 divisors (see below), whose sum is σ = 3074803200000. Its totient is φ = 514720227840.

The previous prime is 1351225156079. The next prime is 1351225156103. The reversal of 1351225156100 is 16515221531.

It is not an unprimeable number, because it can be changed into a prime (1351225156103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 281561501 + ... + 281566299.

It is an arithmetic number, because the mean of its divisors is an integer number (21352800000).

Almost surely, 21351225156100 is an apocalyptic number.

1351225156100 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 1351225156100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1537401600000).

1351225156100 is an abundant number, since it is smaller than the sum of its proper divisors (1723578043900).

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

1351225156100 is a wasteful number, since it uses less digits than its factorization.

1351225156100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6150 (or 6143 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 32.

The spelling of 1351225156100 in words is "one trillion, three hundred fifty-one billion, two hundred twenty-five million, one hundred fifty-six thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 79 100 116 145 158 290 316 395 580 725 790 1229 1450 1580 1975 2291 2458 2900 3950 4582 4799 4916 6145 7900 9164 9598 11455 12290 19196 22910 23995 24580 30725 35641 45820 47990 57275 61450 71282 95980 97091 114550 119975 122900 139171 142564 178205 194182 229100 239950 278342 356410 379121 388364 479900 485455 556684 695855 712820 758242 891025 970910 1391710 1516484 1782050 1895605 1941820 2427275 2783420 2815639 3479275 3564100 3791210 4854550 5631278 5897971 6958550 7582420 9478025 9709100 10994509 11262556 11795942 13917100 14078195 18956050 21989018 23591884 28156390 29489855 37912100 43978036 54972545 56312780 58979710 70390975 109945090 117959420 140781950 147449275 171041159 219890180 274862725 281563900 294898550 342082318 465939709 549725450 589797100 684164636 855205795 931879418 1099450900 1710411590 1863758836 2329698545 3420823180 4276028975 4659397090 8552057950 9318794180 11648492725 13512251561 17104115900 23296985450 27024503122 46593970900 54049006244 67561257805 135122515610 270245031220 337806289025 675612578050 1351225156100