Search a number
-
+
1112036012430 = 235747557202277
BaseRepresentation
bin10000001011101010100…
…000101111000110001110
310221022100200221112211220
4100023222200233012032
5121204422204344210
62210510131024210
7143225201100540
oct20135240570616
93838320845756
101112036012430
1139968037a302
1215b62a73b066
1380b3153b615
143bb73bbb690
151ddd7486c70
hex102ea82f18e

1112036012430 has 128 divisors (see below), whose sum is σ = 3120660836352. Its totient is φ = 248323726848.

The previous prime is 1112036012407. The next prime is 1112036012453. The reversal of 1112036012430 is 342106302111.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1112036012407) and next prime (1112036012453).

It is a super-2 number, since 2×11120360124302 (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1112036012430.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5396452 + ... + 5598728.

It is an arithmetic number, because the mean of its divisors is an integer number (24380162784).

Almost surely, 21112036012430 is an apocalyptic number.

1112036012430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1112036012430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1560330418176).

1112036012430 is an abundant number, since it is smaller than the sum of its proper divisors (2008624823922).

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

1112036012430 is a wasteful number, since it uses less digits than its factorization.

1112036012430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202898.

The product of its (nonzero) digits is 864, while the sum is 24.

The spelling of 1112036012430 in words is "one trillion, one hundred twelve billion, thirty-six million, twelve thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 47 70 94 105 141 210 235 282 329 470 557 658 705 987 1114 1410 1645 1671 1974 2785 3290 3342 3899 4935 5570 7798 8355 9870 11697 16710 19495 23394 26179 38990 52358 58485 78537 116970 130895 157074 183253 202277 261790 366506 392685 404554 549759 606831 785370 916265 1011385 1099518 1213662 1415939 1832530 2022770 2748795 2831878 3034155 4247817 5497590 6068310 7079695 8495634 9507019 14159390 19014038 21239085 28521057 42478170 47535095 57042114 66549133 95070190 112668289 133098266 142605285 199647399 225336578 285210570 332745665 338004867 399294798 563341445 665491330 676009734 788678023 998236995 1126682890 1577356046 1690024335 1996473990 2366034069 3380048670 3943390115 4732068138 5295409583 7886780230 10590819166 11830170345 15886228749 23660340690 26477047915 31772457498 37067867081 52954095830 74135734162 79431143745 111203601243 158862287490 185339335405 222407202486 370678670810 556018006215 1112036012430